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113126208 = 2631361743
BaseRepresentation
bin1101011111000…
…10101101000000
321212212101222120
412233202231000
5212430014313
615120404240
72542362006
oct657425500
9255771876
10113126208
1158947438
1231a76680
131a58b2b0
141104aa76
159de8d23
hex6be2b40

113126208 has 112 divisors (see below), whose sum is σ = 328062336. Its totient is φ = 34191360.

The previous prime is 113126207. The next prime is 113126219. The reversal of 113126208 is 802621311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113126203) by changing a digit.

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, 151885 + ... + 152627.

It is an arithmetic number, because the mean of its divisors is an integer number (2929128).

Almost surely, 2113126208 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 113126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164031168).

113126208 is an abundant number, since it is smaller than the sum of its proper divisors (214936128).

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

113126208 is a wasteful number, since it uses less digits than its factorization.

113126208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 822 counting only the distinct ones).

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

The square root of 113126208 is about 10636.0804810795. The cubic root of 113126208 is about 483.6387350351.

Adding to 113126208 its reverse (802621311), we get a palindrome (915747519).

The spelling of 113126208 in words is "one hundred thirteen million, one hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 312 366 416 488 624 732 743 793 832 976 1248 1464 1486 1586 1952 2229 2379 2496 2928 2972 3172 3904 4458 4758 5856 5944 6344 8916 9516 9659 11712 11888 12688 17832 19032 19318 23776 25376 28977 35664 38064 38636 45323 47552 50752 57954 71328 76128 77272 90646 115908 135969 142656 152256 154544 181292 231816 271938 309088 362584 463632 543876 589199 618176 725168 927264 1087752 1178398 1450336 1767597 1854528 2175504 2356796 2900672 3535194 4351008 4713592 7070388 8702016 9427184 14140776 18854368 28281552 37708736 56563104 113126208