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113958544 = 2471995113
BaseRepresentation
bin1101100101011…
…01111010010000
321221102200201211
412302231322100
5213133133134
615150305504
72552426440
oct662557220
9257380654
10113958544
1159365817
12321b8294
131a7c00bb
14111c6120
15a010764
hex6cade90

113958544 has 40 divisors (see below), whose sum is σ = 253654400. Its totient is φ = 48584448.

The previous prime is 113958529. The next prime is 113958547. The reversal of 113958544 is 445859311.

It is a junction number, because it is equal to n+sod(n) for n = 113958497 and 113958506.

It is not an unprimeable number, because it can be changed into a prime (113958547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19732 + ... + 24844.

It is an arithmetic number, because the mean of its divisors is an integer number (6341360).

Almost surely, 2113958544 is an apocalyptic number.

113958544 is a gapful number since it is divisible by the number (14) 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 113958544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126827200).

113958544 is an abundant number, since it is smaller than the sum of its proper divisors (139695856).

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

113958544 is a wasteful number, since it uses less digits than its factorization.

113958544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5321 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 113958544 is about 10675.1367204359. The cubic root of 113958544 is about 484.8219759705.

The spelling of 113958544 in words is "one hundred thirteen million, nine hundred fifty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 398 796 1393 1592 2786 3184 5113 5572 10226 11144 20452 22288 35791 40904 71582 81808 143164 286328 572656 1017487 2034974 4069948 7122409 8139896 14244818 16279792 28489636 56979272 113958544