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113816080 = 2457192563
BaseRepresentation
bin1101100100010…
…11001000010000
321221011110022101
412302023020100
5213114103310
615143250144
72551264210
oct662131020
9257143271
10113816080
1159278784
1232149954
131a7702c1
141118a240
159ed343a
hex6c8b210

113816080 has 120 divisors (see below), whose sum is σ = 319747392. Its totient is φ = 36903168.

The previous prime is 113816063. The next prime is 113816081. The reversal of 113816080 is 80618311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (113816081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201879 + ... + 202441.

Almost surely, 2113816080 is an apocalyptic number.

113816080 is a gapful number since it is divisible by the number (10) 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 113816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159873696).

113816080 is an abundant number, since it is smaller than the sum of its proper divisors (205931312).

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

113816080 is a wasteful number, since it uses less digits than its factorization.

113816080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 113816080 is about 10668.4619322562. The cubic root of 113816080 is about 484.6198601314.

The spelling of 113816080 in words is "one hundred thirteen million, eight hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 361 380 532 560 563 665 722 760 1064 1126 1330 1444 1520 1805 2128 2252 2527 2660 2815 2888 3610 3941 4504 5054 5320 5630 5776 7220 7882 9008 10108 10640 10697 11260 12635 14440 15764 19705 20216 21394 22520 25270 28880 31528 39410 40432 42788 45040 50540 53485 63056 74879 78820 85576 101080 106970 149758 157640 171152 202160 203243 213940 299516 315280 374395 406486 427880 599032 748790 812972 855760 1016215 1198064 1422701 1497580 1625944 2032430 2845402 2995160 3251888 4064860 5690804 5990320 7113505 8129720 11381608 14227010 16259440 22763216 28454020 56908040 113816080