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112504160 = 2555313267
BaseRepresentation
bin1101011010010…
…10110101100000
321211200210200202
412231022311200
5212300113120
615055204332
72534161316
oct655126540
9254623622
10112504160
115856204a
12318166a8
131a401112
1410d280b6
159d24875
hex6b4ad60

112504160 has 48 divisors (see below), whose sum is σ = 270826416. Its totient is φ = 44149248.

The previous prime is 112504153. The next prime is 112504193. The reversal of 112504160 is 61405211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1847 + ... + 15113.

It is an arithmetic number, because the mean of its divisors is an integer number (5642217).

Almost surely, 2112504160 is an apocalyptic number.

112504160 is a gapful number since it is divisible by the number (10) 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 112504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135413208).

112504160 is an abundant number, since it is smaller than the sum of its proper divisors (158322256).

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

112504160 is a wasteful number, since it uses less digits than its factorization.

112504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 112504160 is about 10606.7978202660. The cubic root of 112504160 is about 482.7506425048.

Adding to 112504160 its reverse (61405211), we get a palindrome (173909371).

The spelling of 112504160 in words is "one hundred twelve million, five hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 13267 26534 53068 66335 106136 132670 212272 265340 424544 530680 703151 1061360 1406302 2122720 2812604 3515755 5625208 7031510 11250416 14063020 22500832 28126040 56252080 112504160