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112606768 = 24192953241
BaseRepresentation
bin1101011011000…
…11111000110000
321211220000110001
412231203320300
5212311404033
615101315344
72535066421
oct655437060
9254800401
10112606768
115862214a
1231865b54
131a438a31
1410d53648
159d44e7d
hex6b63e30

112606768 has 80 divisors (see below), whose sum is σ = 243064800. Its totient is φ = 50319360.

The previous prime is 112606729. The next prime is 112606789. The reversal of 112606768 is 867606211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467128 + ... + 467368.

It is an arithmetic number, because the mean of its divisors is an integer number (3038310).

Almost surely, 2112606768 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 112606768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121532400).

112606768 is an abundant number, since it is smaller than the sum of its proper divisors (130458032).

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

112606768 is a wasteful number, since it uses less digits than its factorization.

112606768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 112606768 is about 10611.6336159896. The cubic root of 112606768 is about 482.8973601212.

The spelling of 112606768 in words is "one hundred twelve million, six hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 29 38 53 58 76 106 116 152 212 232 241 304 424 464 482 551 848 964 1007 1102 1537 1928 2014 2204 3074 3856 4028 4408 4579 6148 6989 8056 8816 9158 12296 12773 13978 16112 18316 24592 25546 27956 29203 36632 51092 55912 58406 73264 102184 111824 116812 132791 204368 233624 242687 265582 370417 467248 485374 531164 740834 970748 1062328 1481668 1941496 2124656 2963336 3882992 5926672 7037923 14075846 28151692 56303384 112606768