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200939928 = 2337892151
BaseRepresentation
bin10111111101000…
…01100110011000
3112000002210202120
423332201212120
5402420034203
631534501240
74656650460
oct1376414630
9460083676
10200939928
11a3475162
1257364820
1332826087
141c988ba0
1512992b53
hexbfa1998

200939928 has 96 divisors (see below), whose sum is σ = 584482560. Its totient is φ = 56390400.

The previous prime is 200939887. The next prime is 200939971. The reversal of 200939928 is 829939002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 200939928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330653 + ... + 1330803.

It is an arithmetic number, because the mean of its divisors is an integer number (6088360).

Almost surely, 2200939928 is an apocalyptic number.

200939928 is a gapful number since it is divisible by the number (28) 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 200939928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292241280).

200939928 is an abundant number, since it is smaller than the sum of its proper divisors (383542632).

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

200939928 is a wasteful number, since it uses less digits than its factorization.

200939928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 200939928 is about 14175.3281443500. The cubic root of 200939928 is about 585.7182382782.

The spelling of 200939928 in words is "two hundred million, nine hundred thirty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 151 168 178 267 302 356 453 534 604 623 712 906 1057 1068 1208 1246 1812 1869 2114 2136 2492 3171 3624 3738 4228 4984 6342 7476 7921 8456 12684 13439 14952 15842 23763 25368 26878 31684 40317 47526 53756 55447 63368 80634 94073 95052 107512 110894 161268 166341 188146 190104 221788 282219 322536 332682 376292 443576 564438 665364 752584 1128876 1196071 1330728 2257752 2392142 3588213 4784284 7176426 8372497 9568568 14352852 16744994 25117491 28705704 33489988 50234982 66979976 100469964 200939928