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113621504 = 29313709
BaseRepresentation
bin1101100010110…
…11101000000000
321220210120101212
412301123220000
5213041342004
615135145252
72546524013
oct661335000
9256716355
10113621504
1159155577
1232075228
131a702879
141113937a
159e9596e
hex6c5ba00

113621504 has 40 divisors (see below), whose sum is σ = 228067620. Its totient is φ = 56549376.

The previous prime is 113621477. The next prime is 113621509. The reversal of 113621504 is 405126311.

It can be written as a sum of positive squares in 2 ways, for example, as 81721600 + 31899904 = 9040^2 + 5648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113621504.

It is not an unprimeable number, because it can be changed into a prime (113621509) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 159902 + ... + 160610.

Almost surely, 2113621504 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 113621504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114033810).

113621504 is an abundant number, since it is smaller than the sum of its proper divisors (114446116).

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

113621504 is an frugal number, since it uses more digits than its factorization.

113621504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 113621504 is about 10659.3388162681. The cubic root of 113621504 is about 484.3435395397.

Adding to 113621504 its reverse (405126311), we get a palindrome (518747815).

The spelling of 113621504 in words is "one hundred thirteen million, six hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 313 512 626 709 1252 1418 2504 2836 5008 5672 10016 11344 20032 22688 40064 45376 80128 90752 160256 181504 221917 363008 443834 887668 1775336 3550672 7101344 14202688 28405376 56810752 113621504