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113195640 = 23351516247
BaseRepresentation
bin1101011111100…
…11101001111000
321212222221020010
412233303221320
5212434230030
615122101520
72543101305
oct657635170
9255887203
10113195640
1158994618
1231aaa8a0
131a5b3a8c
14110680ac
159e0e6b0
hex6bf3a78

113195640 has 64 divisors (see below), whose sum is σ = 341890560. Its totient is φ = 29980800.

The previous prime is 113195567. The next prime is 113195647. The reversal of 113195640 is 46591311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113195598 and 113195607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113195647) 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 15 ways as a sum of consecutive naturals, for example, 14997 + ... + 21243.

It is an arithmetic number, because the mean of its divisors is an integer number (5342040).

Almost surely, 2113195640 is an apocalyptic number.

113195640 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 113195640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170945280).

113195640 is an abundant number, since it is smaller than the sum of its proper divisors (228694920).

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

113195640 is a wasteful number, since it uses less digits than its factorization.

113195640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 113195640 is about 10639.3439647377. The cubic root of 113195640 is about 483.7376603493.

The spelling of 113195640 in words is "one hundred thirteen million, one hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 6247 9060 12494 18120 18741 24988 31235 37482 49976 62470 74964 93705 124940 149928 187410 249880 374820 749640 943297 1886594 2829891 3773188 4716485 5659782 7546376 9432970 11319564 14149455 18865940 22639128 28298910 37731880 56597820 113195640