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113463126 = 23372137313
BaseRepresentation
bin1101100001101…
…00111101010110
321220111112011000
412300310331112
5213021310001
615131524130
72545264200
oct660647526
9256445130
10113463126
1159057587
1231bb9646
131a67875a
14110d7770
159e63a86
hex6c34f56

113463126 has 96 divisors (see below), whose sum is σ = 296390880. Its totient is φ = 32078592.

The previous prime is 113463107. The next prime is 113463143. The reversal of 113463126 is 621364311.

113463126 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 631 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 113463126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362346 + ... + 362658.

It is an arithmetic number, because the mean of its divisors is an integer number (3087405).

Almost surely, 2113463126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113463126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148195440).

113463126 is an abundant number, since it is smaller than the sum of its proper divisors (182927754).

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

113463126 is a wasteful number, since it uses less digits than its factorization.

113463126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 113463126 is about 10651.9071531815. The cubic root of 113463126 is about 484.1183913416.

The spelling of 113463126 in words is "one hundred thirteen million, four hundred sixty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 137 147 189 274 294 313 378 411 441 626 822 882 939 959 1233 1323 1878 1918 2191 2466 2646 2817 2877 3699 4382 5634 5754 6573 6713 7398 8451 8631 13146 13426 15337 16902 17262 19719 20139 25893 30674 39438 40278 42881 46011 51786 59157 60417 85762 92022 118314 120834 128643 138033 181251 257286 276066 300167 362502 385929 414099 600334 771858 828198 900501 1157787 1801002 2101169 2315574 2701503 4202338 5403006 6303507 8104509 12607014 16209018 18910521 37821042 56731563 113463126