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113958192 = 24323109947
BaseRepresentation
bin1101100101011…
…01110100110000
321221102200020210
412302231310300
5213133130232
615150304120
72552425425
oct662556460
9257380223
10113958192
1159365527
12321b8040
131a7bcbaa
14111c5d4c
15a0105cc
hex6cadd30

113958192 has 80 divisors (see below), whose sum is σ = 310337280. Its totient is φ = 35963136.

The previous prime is 113958179. The next prime is 113958209. The reversal of 113958192 is 291859311.

It is a self number, because there is not a number n which added to its sum of digits gives 113958192.

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, 119863 + ... + 120809.

It is an arithmetic number, because the mean of its divisors is an integer number (3879216).

Almost surely, 2113958192 is an apocalyptic number.

113958192 is a gapful number since it is divisible by the number (12) 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 113958192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155168640).

113958192 is an abundant number, since it is smaller than the sum of its proper divisors (196379088).

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

113958192 is a wasteful number, since it uses less digits than its factorization.

113958192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its digits is 19440, while the sum is 39.

The square root of 113958192 is about 10675.1202335149. The cubic root of 113958192 is about 484.8214767904.

The spelling of 113958192 in words is "one hundred thirteen million, nine hundred fifty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 109 138 184 218 276 327 368 436 552 654 872 947 1104 1308 1744 1894 2507 2616 2841 3788 5014 5232 5682 7521 7576 10028 11364 15042 15152 20056 21781 22728 30084 40112 43562 45456 60168 65343 87124 103223 120336 130686 174248 206446 261372 309669 348496 412892 522744 619338 825784 1045488 1238676 1651568 2374129 2477352 4748258 4954704 7122387 9496516 14244774 18993032 28489548 37986064 56979096 113958192