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1404456660 = 22325291132381
BaseRepresentation
bin101001110110110…
…0100111011010100
310121212201210100100
41103231210323110
510334020103120
6351210214100
746542453555
oct12355447324
93555653310
101404456660
11660863092
12332424330
13194c7c159
14d475232c
1583475490
hex53b64ed4

1404456660 has 144 divisors (see below), whose sum is σ = 4447956240. Its totient is φ = 358256640.

The previous prime is 1404456653. The next prime is 1404456667. The reversal of 1404456660 is 666544041.

It is an interprime number because it is at equal distance from previous prime (1404456653) and next prime (1404456667).

It can be written as a sum of positive squares in 8 ways, for example, as 670913604 + 733543056 = 25902^2 + 27084^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404456667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588670 + ... + 591050.

It is an arithmetic number, because the mean of its divisors is an integer number (30888585).

Almost surely, 21404456660 is an apocalyptic number.

1404456660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404456660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223978120).

1404456660 is an abundant number, since it is smaller than the sum of its proper divisors (3043499580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1404456660 is a wasteful number, since it uses less digits than its factorization.

1404456660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1404456660 is about 37476.0811718621. The cubic root of 1404456660 is about 1119.8747362033.

The spelling of 1404456660 in words is "one billion, four hundred four million, four hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 113 116 145 174 180 226 261 290 339 348 435 452 522 565 580 678 870 1017 1044 1130 1305 1356 1695 1740 2034 2260 2381 2610 3277 3390 4068 4762 5085 5220 6554 6780 7143 9524 9831 10170 11905 13108 14286 16385 19662 20340 21429 23810 28572 29493 32770 35715 39324 42858 47620 49155 58986 65540 69049 71430 85716 98310 107145 117972 138098 142860 147465 196620 207147 214290 269053 276196 294930 345245 414294 428580 538106 589860 621441 690490 807159 828588 1035735 1076212 1242882 1345265 1380980 1614318 2071470 2421477 2485764 2690530 3107205 3228636 4035795 4142940 4842954 5381060 6214410 7802537 8071590 9685908 12107385 12428820 15605074 16143180 23407611 24214770 31210148 39012685 46815222 48429540 70222833 78025370 93630444 117038055 140445666 156050740 234076110 280891332 351114165 468152220 702228330 1404456660