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1685220372 = 22321119972131
BaseRepresentation
bin110010001110010…
…0110110000010100
311100110001001202100
41210130212300110
511422404022442
6435120042100
756522064633
oct14434466024
94313031670
101685220372
11795299010
123b0463330
1320b1a3324
1411db5951a
159ce3484c
hex64726c14

1685220372 has 72 divisors (see below), whose sum is σ = 4651631712. Its totient is φ = 510177600.

The previous prime is 1685220349. The next prime is 1685220379. The reversal of 1685220372 is 2730225861.

1685220372 is a `hidden beast` number, since 1 + 68 + 5 + 220 + 372 = 666.

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 (1685220379) 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 23 ways as a sum of consecutive naturals, for example, 789747 + ... + 791877.

It is an arithmetic number, because the mean of its divisors is an integer number (64605996).

Almost surely, 21685220372 is an apocalyptic number.

1685220372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1685220372 is an abundant number, since it is smaller than the sum of its proper divisors (2966411340).

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

1685220372 is a wasteful number, since it uses less digits than its factorization.

1685220372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1685220372 is about 41051.4356874397. The cubic root of 1685220372 is about 1190.0144460737.

The spelling of 1685220372 in words is "one billion, six hundred eighty-five million, two hundred twenty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1997 2131 3994 4262 5991 6393 7988 8524 11982 12786 17973 19179 21967 23441 23964 25572 35946 38358 43934 46882 65901 70323 71892 76716 87868 93764 131802 140646 197703 210969 263604 281292 395406 421938 790812 843876 4255607 8511214 12766821 17022428 25533642 38300463 46811677 51067284 76600926 93623354 140435031 153201852 187246708 280870062 421305093 561740124 842610186 1685220372