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113080140 = 223253716979
BaseRepresentation
bin1101011110101…
…11011101001100
321212210001210100
412233113131030
5212422031030
615115411100
72542110465
oct657273514
9255701710
10113080140
1158915868
1231a53a90
131a573334
1411037d6c
159dda360
hex6bd774c

113080140 has 72 divisors (see below), whose sum is σ = 352301040. Its totient is φ = 29337984.

The previous prime is 113080133. The next prime is 113080147. The reversal of 113080140 is 41080311.

It is an interprime number because it is at equal distance from previous prime (113080133) and next prime (113080147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113080147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1830 + ... + 15149.

It is an arithmetic number, because the mean of its divisors is an integer number (4893070).

Almost surely, 2113080140 is an apocalyptic number.

113080140 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 113080140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176150520).

113080140 is an abundant number, since it is smaller than the sum of its proper divisors (239220900).

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

113080140 is a wasteful number, since it uses less digits than its factorization.

113080140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17031 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 113080140 is about 10633.9146131610. The cubic root of 113080140 is about 483.5730759372.

The spelling of 113080140 in words is "one hundred thirteen million, eighty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 16979 33958 50937 67916 84895 101874 152811 169790 203748 254685 305622 339580 509370 611244 628223 764055 1018740 1256446 1528110 1884669 2512892 3056220 3141115 3769338 5654007 6282230 7538676 9423345 11308014 12564460 18846690 22616028 28270035 37693380 56540070 113080140