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113802040 = 23511475503
BaseRepresentation
bin1101100100001…
…11101100111000
321221010202001101
412302013230320
5213113131130
615143101144
72551205242
oct662075470
9257122041
10113802040
1159269180
12321417b4
131a766ab1
1411185092
159ece1ca
hex6c87b38

113802040 has 64 divisors (see below), whose sum is σ = 285327360. Its totient is φ = 40494720.

The previous prime is 113801981. The next prime is 113802041. The reversal of 113802040 is 40208311.

113802040 = 15332 + 15342 + ... + 15792.

It is a junction number, because it is equal to n+sod(n) for n = 113801999 and 113802017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113802041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17929 + ... + 23431.

It is an arithmetic number, because the mean of its divisors is an integer number (4458240).

Almost surely, 2113802040 is an apocalyptic number.

113802040 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 113802040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142663680).

113802040 is an abundant number, since it is smaller than the sum of its proper divisors (171525320).

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

113802040 is a wasteful number, since it uses less digits than its factorization.

113802040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 113802040 is about 10667.8038977102. The cubic root of 113802040 is about 484.5999322424.

The spelling of 113802040 in words is "one hundred thirteen million, eight hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 5503 10340 11006 20680 22012 27515 44024 55030 60533 110060 121066 220120 242132 258641 302665 484264 517282 605330 1034564 1210660 1293205 2069128 2421320 2586410 2845051 5172820 5690102 10345640 11380204 14225255 22760408 28450510 56901020 113802040