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107026704 = 2433298543
BaseRepresentation
bin1100110000100…
…01100100010000
321110101112001000
412120101210100
5204344323304
614341542000
72436466131
oct630214420
9243345030
10107026704
1155460824
122ba14900
1319233c15
14102ddc88
1595e1939
hex6611910

107026704 has 80 divisors (see below), whose sum is σ = 317836800. Its totient is φ = 34441344.

The previous prime is 107026697. The next prime is 107026709. The reversal of 107026704 is 407620701.

It is a super-2 number, since 2×1070267042 = 22909430738207232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107026709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8257 + ... + 16799.

It is an arithmetic number, because the mean of its divisors is an integer number (3972960).

Almost surely, 2107026704 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 107026704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158918400).

107026704 is an abundant number, since it is smaller than the sum of its proper divisors (210810096).

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

107026704 is a wasteful number, since it uses less digits than its factorization.

107026704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8577 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107026704 is about 10345.3711388234. The cubic root of 107026704 is about 474.7854306968.

The spelling of 107026704 in words is "one hundred seven million, twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 8543 12528 17086 25629 34172 51258 68344 76887 102516 136688 153774 205032 230661 247747 307548 410064 461322 495494 615096 743241 922644 990988 1230192 1486482 1845288 1981976 2229723 2972964 3690576 3963952 4459446 5945928 6689169 8918892 11891856 13378338 17837784 26756676 35675568 53513352 107026704