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107044626 = 231329371279
BaseRepresentation
bin1100110000101…
…01111100010010
321110102102121210
412120111330102
5204400412001
614342200550
72436602313
oct630257422
9243372553
10107044626
1155473237
122ba23156
131923c120
141030660a
1595e6dd6
hex6615f12

107044626 has 64 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 30917376.

The previous prime is 107044621. The next prime is 107044633. The reversal of 107044626 is 626440701.

It is a super-2 number, since 2×1070446262 = 22917103910959752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107044593 and 107044602.

It is not an unprimeable number, because it can be changed into a prime (107044621) 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 31 ways as a sum of consecutive naturals, for example, 83055 + ... + 84333.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2107044626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107044626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

107044626 is an abundant number, since it is smaller than the sum of its proper divisors (138100974).

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

107044626 is a wasteful number, since it uses less digits than its factorization.

107044626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 107044626 is about 10346.2372870527. The cubic root of 107044626 is about 474.8119307174.

The spelling of 107044626 in words is "one hundred seven million, forty-four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 13 26 29 37 39 58 74 78 87 111 174 222 377 481 754 962 1073 1131 1279 1443 2146 2262 2558 2886 3219 3837 6438 7674 13949 16627 27898 33254 37091 41847 47323 49881 74182 83694 94646 99762 111273 141969 222546 283938 482183 615199 964366 1230398 1372367 1446549 1845597 2744734 2893098 3691194 4117101 8234202 17840771 35681542 53522313 107044626