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112109504 = 26131271061
BaseRepresentation
bin1101010111010…
…10011111000000
321210221202022212
412223222133000
5212200001004
615042521252
72530625603
oct653523700
9253852285
10112109504
1158312591
1231666228
131a2c35b0
1410c6433a
159c9796e
hex6aea7c0

112109504 has 56 divisors (see below), whose sum is σ = 241694208. Its totient is φ = 51287040.

The previous prime is 112109489. The next prime is 112109507. The reversal of 112109504 is 405901211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112109504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112109507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105134 + ... + 106194.

It is an arithmetic number, because the mean of its divisors is an integer number (4315968).

Almost surely, 2112109504 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 112109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120847104).

112109504 is an abundant number, since it is smaller than the sum of its proper divisors (129584704).

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

112109504 is a wasteful number, since it uses less digits than its factorization.

112109504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 112109504 is about 10588.1775580125. The cubic root of 112109504 is about 482.1854970329.

The spelling of 112109504 in words is "one hundred twelve million, one hundred nine thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 208 254 416 508 832 1016 1061 1651 2032 2122 3302 4064 4244 6604 8128 8488 13208 13793 16976 26416 27586 33952 52832 55172 67904 105664 110344 134747 220688 269494 441376 538988 882752 1077976 1751711 2155952 3503422 4311904 7006844 8623808 14013688 28027376 56054752 112109504