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113675744 = 25713103379
BaseRepresentation
bin1101100011010…
…00110111100000
321220220022210202
412301220313200
5213100110434
615140244332
72550141110
oct661506740
9256808722
10113675744
11591922a6
12320a06a8
131a721470
1411151040
159ea6a7e
hex6c68de0

113675744 has 96 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 44416512.

The previous prime is 113675743. The next prime is 113675759. The reversal of 113675744 is 447576311.

Its product of digits (70560) is a multiple of the sum of its prime divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 113675698 and 113675707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113675741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299747 + ... + 300125.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2113675744 is an apocalyptic number.

113675744 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 113675744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

113675744 is an abundant number, since it is smaller than the sum of its proper divisors (165177376).

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

113675744 is a wasteful number, since it uses less digits than its factorization.

113675744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 113675744 is about 10661.8827605634. The cubic root of 113675744 is about 484.4205983518.

The spelling of 113675744 in words is "one hundred thirteen million, six hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 103 104 112 182 206 208 224 364 379 412 416 721 728 758 824 1339 1442 1456 1516 1648 2653 2678 2884 2912 3032 3296 4927 5306 5356 5768 6064 9373 9854 10612 10712 11536 12128 18746 19708 21224 21424 23072 34489 37492 39037 39416 42448 42848 68978 74984 78074 78832 84896 137956 149968 156148 157664 273259 275912 299936 312296 507481 546518 551824 624592 1014962 1093036 1103648 1249184 2029924 2186072 3552367 4059848 4372144 7104734 8119696 8744288 14209468 16239392 28418936 56837872 113675744