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1406427660 = 22325114316519
BaseRepresentation
bin101001111010100…
…0110001000001100
310122000102221001100
41103311012020030
510340021141120
6351320343100
746565303121
oct12365061014
93560387040
101406427660
11661989a10
12333014a90
131954bc321
14d4b06748
1583714490
hex53d4620c

1406427660 has 144 divisors (see below), whose sum is σ = 4762517760. Its totient is φ = 333002880.

The previous prime is 1406427643. The next prime is 1406427661. The reversal of 1406427660 is 667246041.

1406427660 is a `hidden beast` number, since 1 + 4 + 0 + 642 + 7 + 6 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1406427661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76881 + ... + 93399.

It is an arithmetic number, because the mean of its divisors is an integer number (33073040).

Almost surely, 21406427660 is an apocalyptic number.

1406427660 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 1406427660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381258880).

1406427660 is an abundant number, since it is smaller than the sum of its proper divisors (3356090100).

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

1406427660 is a wasteful number, since it uses less digits than its factorization.

1406427660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16588 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1406427660 is about 37502.3687251885. The cubic root of 1406427660 is about 1120.3983648817.

The spelling of 1406427660 in words is "one billion, four hundred six million, four hundred twenty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 16519 17028 21285 28380 33038 42570 49557 66076 82595 85140 99114 148671 165190 181709 198228 247785 297342 330380 363418 495570 545127 594684 710317 726836 743355 908545 991140 1090254 1420634 1486710 1635381 1817090 2130951 2180508 2725635 2841268 2973420 3270762 3551585 3634180 4261902 5451270 6392853 6541524 7103170 7813487 8176905 8523804 10654755 10902540 12785706 14206340 15626974 16353810 21309510 23440461 25571412 31253948 31964265 32707620 39067435 42619020 46880922 63928530 70321383 78134870 93761844 117202305 127857060 140642766 156269740 234404610 281285532 351606915 468809220 703213830 1406427660