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112672320 = 2635241487
BaseRepresentation
bin1101011011100…
…11111001000000
321212000100100220
412231303321000
5212321003240
615102543040
72535461505
oct655637100
9255010326
10112672320
1158667422
1231897a80
131a45c817
1410d6d4ac
159d595d0
hex6b73e40

112672320 has 112 divisors (see below), whose sum is σ = 359956608. Its totient is φ = 29859840.

The previous prime is 112672213. The next prime is 112672327. The reversal of 112672320 is 23276211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112672327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231117 + ... + 231603.

Almost surely, 2112672320 is an apocalyptic number.

112672320 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 112672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179978304).

112672320 is an abundant number, since it is smaller than the sum of its proper divisors (247284288).

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

112672320 is a wasteful number, since it uses less digits than its factorization.

112672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 112672320 is about 10614.7218522202. The cubic root of 112672320 is about 482.9910452755.

The spelling of 112672320 in words is "one hundred twelve million, six hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 241 320 480 482 487 723 960 964 974 1205 1446 1461 1928 1948 2410 2435 2892 2922 3615 3856 3896 4820 4870 5784 5844 7230 7305 7712 7792 9640 9740 11568 11688 14460 14610 15424 15584 19280 19480 23136 23376 28920 29220 31168 38560 38960 46272 46752 57840 58440 77120 77920 93504 115680 116880 117367 155840 231360 233760 234734 352101 467520 469468 586835 704202 938936 1173670 1408404 1760505 1877872 2347340 2816808 3521010 3755744 4694680 5633616 7042020 7511488 9389360 11267232 14084040 18778720 22534464 28168080 37557440 56336160 112672320