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113001552 = 243237127167
BaseRepresentation
bin1101011110001…
…00010001010000
321212122001222200
412233010101100
5212412022202
615114003200
72541332406
oct657042120
9255561880
10113001552
1158871814
1231a16500
131a546631
1411017476
159dc1e1c
hex6bc4450

113001552 has 120 divisors (see below), whose sum is σ = 329312256. Its totient is φ = 36142848.

The previous prime is 113001529. The next prime is 113001587. The reversal of 113001552 is 255100311.

113001552 is a `hidden beast` number, since 113 + 0 + 0 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676573 + ... + 676739.

Almost surely, 2113001552 is an apocalyptic number.

113001552 is a gapful number since it is divisible by the number (12) 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 113001552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656128).

113001552 is an abundant number, since it is smaller than the sum of its proper divisors (216310704).

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

113001552 is a wasteful number, since it uses less digits than its factorization.

113001552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 113001552 is about 10630.2188124234. The cubic root of 113001552 is about 483.4610260582.

Adding to 113001552 its reverse (255100311), we get a palindrome (368101863).

The spelling of 113001552 in words is "one hundred thirteen million, one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 127 144 148 167 222 254 296 333 334 381 444 501 508 592 666 668 762 888 1002 1016 1143 1332 1336 1503 1524 1776 2004 2032 2286 2664 2672 3006 3048 4008 4572 4699 5328 6012 6096 6179 8016 9144 9398 12024 12358 14097 18288 18537 18796 21209 24048 24716 28194 37074 37592 42291 42418 49432 55611 56388 63627 74148 75184 84582 84836 98864 111222 112776 127254 148296 169164 169672 190881 222444 225552 254508 296592 338328 339344 381762 444888 509016 676656 763524 784733 889776 1018032 1527048 1569466 2354199 3054096 3138932 4708398 6277864 7062597 9416796 12555728 14125194 18833592 28250388 37667184 56500776 113001552