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113375844 = 223237471811
BaseRepresentation
bin1101100000111…
…11101001100100
321220100002102100
412300133221210
5213011011334
615130012100
72544451551
oct660375144
9256302370
10113375844
1158aa7a4a
1231b77030
131a647aca
14110b3a28
159e47c99
hex6c1fa64

113375844 has 72 divisors (see below), whose sum is σ = 300763008. Its totient is φ = 35968320.

The previous prime is 113375837. The next prime is 113375861. The reversal of 113375844 is 448573311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113375799 and 113375808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61699 + ... + 63509.

It is an arithmetic number, because the mean of its divisors is an integer number (4177264).

Almost surely, 2113375844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113375844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150381504).

113375844 is an abundant number, since it is smaller than the sum of its proper divisors (187387164).

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

113375844 is a wasteful number, since it uses less digits than its factorization.

113375844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 113375844 is about 10647.8093521625. The cubic root of 113375844 is about 483.9942227756.

The spelling of 113375844 in words is "one hundred thirteen million, three hundred seventy-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 333 423 444 564 666 846 1332 1692 1739 1811 3478 3622 5217 5433 6956 7244 10434 10866 15651 16299 20868 21732 31302 32598 62604 65196 67007 85117 134014 170234 201021 255351 268028 340468 402042 510702 603063 766053 804084 1021404 1206126 1532106 2412252 3064212 3149329 6298658 9447987 12597316 18895974 28343961 37791948 56687922 113375844