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116693856 = 25323747233
BaseRepresentation
bin1101111010010…
…01101101100000
322010120122212200
412331021231200
5214333200411
615325053200
72614611216
oct675115540
9263518780
10116693856
115a963904
12330b7200
131b23a126
14116d8cb6
15a3a0e56
hex6f49b60

116693856 has 144 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 36882432.

The previous prime is 116693803. The next prime is 116693867. The reversal of 116693856 is 658396611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 500716 + ... + 500948.

It is an arithmetic number, because the mean of its divisors is an integer number (2427516).

Almost surely, 2116693856 is an apocalyptic number.

116693856 is a gapful number since it is divisible by the number (16) 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 116693856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174781152).

116693856 is an abundant number, since it is smaller than the sum of its proper divisors (232868448).

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

116693856 is a wasteful number, since it uses less digits than its factorization.

116693856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 116693856 is about 10802.4930455891. The cubic root of 116693856 is about 488.6703588375.

The spelling of 116693856 in words is "one hundred sixteen million, six hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 47 48 72 74 94 96 111 141 144 148 188 222 233 282 288 296 333 376 423 444 466 564 592 666 699 752 846 888 932 1128 1184 1332 1398 1504 1692 1739 1776 1864 2097 2256 2664 2796 3384 3478 3552 3728 4194 4512 5217 5328 5592 6768 6956 7456 8388 8621 10434 10656 10951 11184 13536 13912 15651 16776 17242 20868 21902 22368 25863 27824 31302 32853 33552 34484 41736 43804 51726 55648 62604 65706 67104 68968 77589 83472 87608 98559 103452 125208 131412 137936 155178 166944 175216 197118 206904 250416 262824 275872 310356 350432 394236 405187 413808 500832 525648 620712 788472 810374 827616 1051296 1215561 1241424 1576944 1620748 2431122 2482848 3153888 3241496 3646683 4862244 6482992 7293366 9724488 12965984 14586732 19448976 29173464 38897952 58346928 116693856