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112717320 = 23358311317
BaseRepresentation
bin1101011011111…
…10111000001000
321212002122002120
412231332320020
5212323423240
615103531240
72536036632
oct655767010
9255078076
10112717320
1158698211
12318b9b20
131a477151
1410d81a52
159d67ad0
hex6b7ee08

112717320 has 64 divisors (see below), whose sum is σ = 342256320. Its totient is φ = 29693184.

The previous prime is 112717309. The next prime is 112717321. The reversal of 112717320 is 23717211.

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 (112717321) 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, 4302 + ... + 15618.

It is an arithmetic number, because the mean of its divisors is an integer number (5347755).

Almost surely, 2112717320 is an apocalyptic number.

112717320 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 112717320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171128160).

112717320 is an abundant number, since it is smaller than the sum of its proper divisors (229539000).

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

112717320 is a wasteful number, since it uses less digits than its factorization.

112717320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11414 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 112717320 is about 10616.8413381759. The cubic root of 112717320 is about 483.0553370322.

The spelling of 112717320 in words is "one hundred twelve million, seven hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 11317 22634 33951 45268 56585 67902 90536 113170 135804 169755 226340 271608 339510 452680 679020 939311 1358040 1878622 2817933 3757244 4696555 5635866 7514488 9393110 11271732 14089665 18786220 22543464 28179330 37572440 56358660 112717320