Search a number
-
+
113754368 = 2871319257
BaseRepresentation
bin1101100011111…
…00000100000000
321221001022122202
412301330010000
5213110114433
615142052332
72550616250
oct661740400
9257038582
10113754368
1159236382
123211a0a8
131a74b1a0
1411171960
159ebeee8
hex6c7c100

113754368 has 144 divisors (see below), whose sum is σ = 295317120. Its totient is φ = 42467328.

The previous prime is 113754359. The next prime is 113754379. The reversal of 113754368 is 863457311.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442496 + ... + 442752.

Almost surely, 2113754368 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 113754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147658560).

113754368 is an abundant number, since it is smaller than the sum of its proper divisors (181562752).

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

113754368 is a wasteful number, since it uses less digits than its factorization.

113754368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 113754368 is about 10665.5692768834. The cubic root of 113754368 is about 484.5322560258.

The spelling of 113754368 in words is "one hundred thirteen million, seven hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 256 257 266 304 364 416 448 494 514 532 608 728 832 896 988 1028 1064 1216 1456 1664 1729 1792 1799 1976 2056 2128 2432 2912 3328 3341 3458 3598 3952 4112 4256 4864 4883 5824 6682 6916 7196 7904 8224 8512 9766 11648 13364 13832 14392 15808 16448 17024 19532 23296 23387 26728 27664 28784 31616 32896 34048 34181 39064 46774 53456 55328 57568 63232 63479 65792 68362 78128 93548 106912 110656 115136 126958 136724 156256 187096 213824 221312 230272 253916 273448 312512 374192 427648 442624 444353 460544 507832 546896 625024 748384 855296 888706 1015664 1093792 1250048 1496768 1777412 2031328 2187584 2993536 3554824 4062656 4375168 5987072 7109648 8125312 8750336 14219296 16250624 28438592 56877184 113754368