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113433408 = 26321117903
BaseRepresentation
bin1101100001011…
…01101101000000
321220110000101100
412300231231000
5213014332113
615131134400
72545111434
oct660555500
9256400340
10113433408
1159037220
1231ba4400
131a66807a
14110ca9c4
159e59d73
hex6c2db40

113433408 has 84 divisors (see below), whose sum is σ = 354714048. Its totient is φ = 34371840.

The previous prime is 113433329. The next prime is 113433421. The reversal of 113433408 is 804334311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2616 + ... + 15287.

Almost surely, 2113433408 is an apocalyptic number.

113433408 is a gapful number since it is divisible by the number (18) 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 113433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177357024).

113433408 is an abundant number, since it is smaller than the sum of its proper divisors (241280640).

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

113433408 is a wasteful number, since it uses less digits than its factorization.

113433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17932 (or 17919 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 113433408 is about 10650.5121003640. The cubic root of 113433408 is about 484.0761212605.

Adding to 113433408 its reverse (804334311), we get a palindrome (917767719).

The spelling of 113433408 in words is "one hundred thirteen million, four hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 17903 35806 53709 71612 107418 143224 161127 196933 214836 286448 322254 393866 429672 572896 590799 644508 787732 859344 1145792 1181598 1289016 1575464 1718688 1772397 2363196 2578032 3150928 3437376 3544794 4726392 5156064 6301856 7089588 9452784 10312128 12603712 14179176 18905568 28358352 37811136 56716704 113433408