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15106112 = 26724817
BaseRepresentation
bin111001101000…
…000001000000
31001102110200122
4321220001000
512331343422
61255435412
7242254100
oct71500100
931373618
1015106112
11858849a
125085b68
13318ba38
142013200
1514d5d42
hexe68040

15106112 has 42 divisors (see below), whose sum is σ = 34877502. Its totient is φ = 6472704.

The previous prime is 15106111. The next prime is 15106139. The reversal of 15106112 is 21160151.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 5271616 = 3136^2 + 2296^2 .

It is not an unprimeable number, because it can be changed into a prime (15106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728 + ... + 5544.

Almost surely, 215106112 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 15106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17438751).

15106112 is an abundant number, since it is smaller than the sum of its proper divisors (19771390).

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

15106112 is an equidigital number, since it uses as much as digits as its factorization.

15106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 15106112 is about 3886.6582046792. The cubic root of 15106112 is about 247.2013852591.

Adding to 15106112 its reverse (21160151), we get a palindrome (36266263).

The spelling of 15106112 in words is "fifteen million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4817 9634 19268 33719 38536 67438 77072 134876 154144 236033 269752 308288 472066 539504 944132 1079008 1888264 2158016 3776528 7553056 15106112