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116832352 = 2571353757
BaseRepresentation
bin1101111011010…
…11100001100000
322010211200212011
412331223201200
5214402113402
615332042304
72616026050
oct675534140
9263750764
10116832352
115aa4896a
1233163394
131b288190
1411733560
15a3cbed7
hex6f6b860

116832352 has 96 divisors (see below), whose sum is σ = 288816192. Its totient is φ = 45287424.

The previous prime is 116832277. The next prime is 116832361. The reversal of 116832352 is 253238611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153958 + ... + 154714.

It is an arithmetic number, because the mean of its divisors is an integer number (3008502).

Almost surely, 2116832352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116832352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144408096).

116832352 is an abundant number, since it is smaller than the sum of its proper divisors (171983840).

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

116832352 is a wasteful number, since it uses less digits than its factorization.

116832352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 116832352 is about 10808.9015168055. The cubic root of 116832352 is about 488.8636056101.

The spelling of 116832352 in words is "one hundred sixteen million, eight hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 91 104 106 112 182 208 212 224 364 371 416 424 689 728 742 757 848 1378 1456 1484 1514 1696 2756 2912 2968 3028 4823 5299 5512 5936 6056 9646 9841 10598 11024 11872 12112 19292 19682 21196 22048 24224 38584 39364 40121 42392 68887 77168 78728 80242 84784 137774 154336 157456 160484 169568 275548 280847 314912 320968 521573 551096 561694 641936 1043146 1102192 1123388 1283872 2086292 2204384 2246776 3651011 4172584 4493552 7302022 8345168 8987104 14604044 16690336 29208088 58416176 116832352