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113140608 = 27373859
BaseRepresentation
bin1101011111001…
…10001110000000
321212220010201220
412233212032000
5212430444413
615120555040
72542452000
oct657461600
9255803656
10113140608
1158957239
1231a82a80
131a594a09
1411052000
159ded223
hex6be6380

113140608 has 128 divisors (see below), whose sum is σ = 350880000. Its totient is φ = 32288256.

The previous prime is 113140597. The next prime is 113140631. The reversal of 113140608 is 806041311.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131283 + ... + 132141.

It is an arithmetic number, because the mean of its divisors is an integer number (2741250).

Almost surely, 2113140608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175440000).

113140608 is an abundant number, since it is smaller than the sum of its proper divisors (237739392).

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

113140608 is an frugal number, since it uses more digits than its factorization.

113140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 113140608 is about 10636.7574006367. The cubic root of 113140608 is about 483.6592551911.

Adding to 113140608 its reverse (806041311), we get a palindrome (919181919).

The spelling of 113140608 in words is "one hundred thirteen million, one hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 859 896 1029 1176 1344 1372 1568 1718 2058 2352 2577 2688 2744 3136 3436 4116 4704 5154 5488 6013 6272 6872 8232 9408 10308 10976 12026 13744 16464 18039 18816 20616 21952 24052 27488 32928 36078 41232 42091 43904 48104 54976 65856 72156 82464 84182 96208 109952 126273 131712 144312 164928 168364 192416 252546 288624 294637 329856 336728 384832 505092 577248 589274 673456 769664 883911 1010184 1154496 1178548 1346912 1767822 2020368 2308992 2357096 2693824 3535644 4040736 4714192 5387648 7071288 8081472 9428384 14142576 16162944 18856768 28285152 37713536 56570304 113140608