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1405575640 = 235717714159
BaseRepresentation
bin101001111000111…
…0110000111011000
310121221211122022001
41103301312013120
510334311410030
6351250210344
746555124110
oct12361660730
93557748261
101405575640
11661457867
123328839b4
13195281581
14d4964040
15835e6cca
hex53c761d8

1405575640 has 128 divisors (see below), whose sum is σ = 3881779200. Its totient is φ = 447068160.

The previous prime is 1405575629. The next prime is 1405575643. The reversal of 1405575640 is 465755041.

It is a happy number.

1405575640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14055756402 = 3951285759522819200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1405575640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405575643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335881 + ... + 340039.

It is an arithmetic number, because the mean of its divisors is an integer number (30326400).

Almost surely, 21405575640 is an apocalyptic number.

1405575640 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 1405575640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940889600).

1405575640 is an abundant number, since it is smaller than the sum of its proper divisors (2476203560).

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

1405575640 is a wasteful number, since it uses less digits than its factorization.

1405575640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 1405575640 is about 37491.0074551218. The cubic root of 1405575640 is about 1120.1720717766.

The spelling of 1405575640 in words is "one billion, four hundred five million, five hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 71 85 119 136 140 142 170 238 280 284 340 355 476 497 568 595 680 710 952 994 1190 1207 1420 1988 2380 2414 2485 2840 3976 4159 4760 4828 4970 6035 8318 8449 9656 9940 12070 16636 16898 19880 20795 24140 29113 33272 33796 41590 42245 48280 58226 67592 70703 83180 84490 116452 141406 145565 166360 168980 232904 282812 291130 295289 337960 353515 494921 565624 582260 590578 707030 989842 1164520 1181156 1414060 1476445 1979684 2067023 2362312 2474605 2828120 2952890 3959368 4134046 4949210 5019913 5905780 8268092 9898420 10039826 10335115 11811560 16536184 19796840 20079652 20670230 25099565 35139391 40159304 41340460 50199130 70278782 82680920 100398260 140557564 175696955 200796520 281115128 351393910 702787820 1405575640