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113507368 = 2313171931109
BaseRepresentation
bin1101100001111…
…11110000101000
321220120202211121
412300333300220
5213024213433
615132505024
72545540162
oct660776050
9256522747
10113507368
1159087847
123201b174
131a692930
1411109932
159e71c2d
hex6c3fc28

113507368 has 128 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 44789760.

The previous prime is 113507341. The next prime is 113507441. The reversal of 113507368 is 863705311.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041298 + ... + 1041406.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2113507368 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 113507368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

113507368 is an abundant number, since it is smaller than the sum of its proper divisors (152604632).

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

113507368 is a wasteful number, since it uses less digits than its factorization.

113507368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 113507368 is about 10653.9836680934. The cubic root of 113507368 is about 484.1813062973.

The spelling of 113507368 in words is "one hundred thirteen million, five hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 17 19 26 31 34 38 52 62 68 76 104 109 124 136 152 218 221 247 248 323 403 436 442 494 527 589 646 806 872 884 988 1054 1178 1292 1417 1612 1768 1853 1976 2071 2108 2356 2584 2834 3224 3379 3706 4142 4199 4216 4712 5668 6758 6851 7412 7657 8284 8398 10013 11336 13516 13702 14824 15314 16568 16796 20026 24089 26923 27032 27404 30628 33592 35207 40052 43927 48178 53846 54808 57443 61256 64201 70414 80104 87854 96356 107692 114886 128402 130169 140828 175708 192712 215384 229772 256804 260338 281656 351416 457691 459544 513608 520676 746759 834613 915382 1041352 1091417 1493518 1669226 1830764 2182834 2987036 3338452 3661528 4365668 5974072 6676904 8731336 14188421 28376842 56753684 113507368