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116730336 = 25323291823
BaseRepresentation
bin1101111010100…
…10100111100000
322010122111220210
412331102213200
5214340332321
615325534120
72615122452
oct675224740
9263574823
10116730336
115a989258
1233114340
131b250908
14117082d2
15a3abb76
hex6f529e0

116730336 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 35915264.

The previous prime is 116730329. The next prime is 116730343. The reversal of 116730336 is 633037611.

It is an interprime number because it is at equal distance from previous prime (116730329) and next prime (116730343).

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

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, 63121 + ... + 64943.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2116730336 is an apocalyptic number.

116730336 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 116730336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

116730336 is an abundant number, since it is smaller than the sum of its proper divisors (214216224).

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

116730336 is a wasteful number, since it uses less digits than its factorization.

116730336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 116730336 is about 10804.1814127679. The cubic root of 116730336 is about 488.7212750783.

Adding to 116730336 its reverse (633037611), we get a palindrome (749767947).

The spelling of 116730336 in words is "one hundred sixteen million, seven hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 1823 2001 2208 2668 2784 3646 4002 5336 5469 7292 8004 10672 10938 14584 16008 21344 21876 29168 32016 41929 43752 52867 58336 64032 83858 87504 105734 125787 158601 167716 175008 211468 251574 317202 335432 422936 503148 634404 670864 845872 1006296 1215941 1268808 1341728 1691744 2012592 2431882 2537616 3647823 4025184 4863764 5075232 7295646 9727528 14591292 19455056 29182584 38910112 58365168 116730336