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79700112 = 24366833
BaseRepresentation
bin1001100000000…
…10000010010000
312112222012000000
410300002002100
5130400400422
611524130000
71655303562
oct460020220
9175865000
1079700112
1140a96968
1222836900
1313686a3b
14a829332
156ee4cac
hex4c02090

79700112 has 70 divisors (see below), whose sum is σ = 231556422. Its totient is φ = 26562816.

The previous prime is 79700111. The next prime is 79700141. The reversal of 79700112 is 21100797.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 25765776 = 7344^2 + 5076^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (79700111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8248 + ... + 15080.

Almost surely, 279700112 is an apocalyptic number.

79700112 is a gapful number since it is divisible by the number (72) 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 79700112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115778211).

79700112 is an abundant number, since it is smaller than the sum of its proper divisors (151856310).

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

79700112 is an equidigital number, since it uses as much as digits as its factorization.

79700112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6838 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 79700112 is about 8927.4919210269. The cubic root of 79700112 is about 430.3478562516.

The spelling of 79700112 in words is "seventy-nine million, seven hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 6833 11664 13666 20499 27332 40998 54664 61497 81996 109328 122994 163992 184491 245988 327984 368982 491976 553473 737964 983952 1106946 1475928 1660419 2213892 2951856 3320838 4427784 4981257 6641676 8855568 9962514 13283352 19925028 26566704 39850056 79700112