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113902416 = 24331913877
BaseRepresentation
bin1101100101000…
…00001101010000
321221022211202000
412302200031100
5213124334131
615145154000
72552104005
oct662401520
9257284660
10113902416
1159327631
123218b900
131a7a06a4
14111ad8ac
159eedce6
hex6ca0350

113902416 has 80 divisors (see below), whose sum is σ = 344174400. Its totient is φ = 35966592.

The previous prime is 113902351. The next prime is 113902421. The reversal of 113902416 is 614209311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 113902416.

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, 1270 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (4302180).

Almost surely, 2113902416 is an apocalyptic number.

113902416 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 113902416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172087200).

113902416 is an abundant number, since it is smaller than the sum of its proper divisors (230271984).

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

113902416 is a wasteful number, since it uses less digits than its factorization.

113902416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13913 (or 13901 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 113902416 is about 10672.5074841857. The cubic root of 113902416 is about 484.7423664455.

The spelling of 113902416 in words is "one hundred thirteen million, nine hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 13877 27754 41631 55508 83262 111016 124893 166524 222032 249786 263663 333048 374679 499572 527326 666096 749358 790989 999144 1054652 1498716 1581978 1998288 2109304 2372967 2997432 3163956 4218608 4745934 5994864 6327912 7118901 9491868 12655824 14237802 18983736 28475604 37967472 56951208 113902416