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200930688 = 2732724917
BaseRepresentation
bin10111111100111…
…11010110000000
3112000002100002100
423332133112000
5402414240223
631534350400
74656611520
oct1376372600
9460070070
10200930688
11a3469222
125735b400
1332821aca
141c985680
1512990043
hexbf9f580

200930688 has 96 divisors (see below), whose sum is σ = 660825360. Its totient is φ = 57406464.

The previous prime is 200930669. The next prime is 200930711. The reversal of 200930688 is 886039002.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4395 + ... + 20522.

Almost surely, 2200930688 is an apocalyptic number.

200930688 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 200930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330412680).

200930688 is an abundant number, since it is smaller than the sum of its proper divisors (459894672).

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

200930688 is a wasteful number, since it uses less digits than its factorization.

200930688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24944 (or 24929 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 200930688 is about 14175.0022222220. The cubic root of 200930688 is about 585.7092602725.

The spelling of 200930688 in words is "two hundred million, nine hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 24917 49834 74751 99668 149502 174419 199336 224253 299004 348838 398672 448506 523257 598008 697676 797344 897012 1046514 1196016 1395352 1569771 1594688 1794024 2093028 2392032 2790704 3139542 3189376 3588048 4186056 4784064 5581408 6279084 7176096 8372112 9568128 11162816 12558168 14352192 16744224 22325632 25116336 28704384 33488448 50232672 66976896 100465344 200930688