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112100960 = 2553197233
BaseRepresentation
bin1101010111010…
…00011001100000
321210221022121102
412223220121200
5212144212320
615042413532
72530561646
oct653503140
9253838542
10112100960
1158307124
12316612a8
131a2bc73a
1410c61196
159c95175
hex6ae8660

112100960 has 96 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 42762240.

The previous prime is 112100959. The next prime is 112100971. The reversal of 112100960 is 69001211.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481004 + ... + 481236.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2112100960 is an apocalyptic number.

112100960 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 112100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

112100960 is an abundant number, since it is smaller than the sum of its proper divisors (165284512).

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

112100960 is a wasteful number, since it uses less digits than its factorization.

112100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 112100960 is about 10587.7740814583. The cubic root of 112100960 is about 482.1732474096.

The spelling of 112100960 in words is "one hundred twelve million, one hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 97 124 155 160 194 233 248 310 388 466 485 496 620 776 932 970 992 1165 1240 1552 1864 1940 2330 2480 3007 3104 3728 3880 4660 4960 6014 7223 7456 7760 9320 12028 14446 15035 15520 18640 22601 24056 28892 30070 36115 37280 45202 48112 57784 60140 72230 90404 96224 113005 115568 120280 144460 180808 226010 231136 240560 288920 361616 452020 481120 577840 700631 723232 904040 1155680 1401262 1808080 2802524 3503155 3616160 5605048 7006310 11210096 14012620 22420192 28025240 56050480 112100960