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112515004 = 22743113827
BaseRepresentation
bin1101011010011…
…01011110111100
321211201100120101
412231031132330
5212300440004
615055330444
72534235040
oct655153674
9254640511
10112515004
115856a208
1231820a24
131a406034
1410d2c020
159d27ba4
hex6b4d7bc

112515004 has 48 divisors (see below), whose sum is σ = 232581888. Its totient is φ = 46626048.

The previous prime is 112514999. The next prime is 112515031. The reversal of 112515004 is 400515211.

It is a super-2 number, since 2×1125150042 = 25319252250240032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135639 + ... + 136465.

It is an arithmetic number, because the mean of its divisors is an integer number (4845456).

Almost surely, 2112515004 is an apocalyptic number.

112515004 is a gapful number since it is divisible by the number (14) 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 112515004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116290944).

112515004 is an abundant number, since it is smaller than the sum of its proper divisors (120066884).

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

112515004 is a wasteful number, since it uses less digits than its factorization.

112515004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 112515004 is about 10607.3089895600. The cubic root of 112515004 is about 482.7661523899.

It can be divided in two parts, 1125 and 15004, that added together give a square (16129 = 1272).

The spelling of 112515004 in words is "one hundred twelve million, five hundred fifteen thousand, four".

Divisors: 1 2 4 7 14 28 43 86 113 172 226 301 452 602 791 827 1204 1582 1654 3164 3308 4859 5789 9718 11578 19436 23156 34013 35561 68026 71122 93451 136052 142244 186902 248927 373804 497854 654157 995708 1308314 2616628 4018393 8036786 16073572 28128751 56257502 112515004