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107166618 = 23313211743
BaseRepresentation
bin1100110001100…
…11101110011010
321110122121222000
412120303232122
5204413312433
614344541430
72440621056
oct630635632
9243577860
10107166618
1155546959
122ba81876
1319282800
1410338c66
15961d113
hex6633b9a

107166618 has 48 divisors (see below), whose sum is σ = 257898240. Its totient is φ = 32971536.

The previous prime is 107166617. The next prime is 107166643. The reversal of 107166618 is 816661701.

It is a super-2 number, since 2×1071666182 = 22969368027115848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107166613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3255 + ... + 14997.

It is an arithmetic number, because the mean of its divisors is an integer number (5372880).

Almost surely, 2107166618 is an apocalyptic number.

107166618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107166618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128949120).

107166618 is an abundant number, since it is smaller than the sum of its proper divisors (150731622).

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

107166618 is a wasteful number, since it uses less digits than its factorization.

107166618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 11761 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107166618 is about 10352.1310849506. The cubic root of 107166618 is about 474.9922332987.

The spelling of 107166618 in words is "one hundred seven million, one hundred sixty-six thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 11743 23486 35229 70458 105687 152659 211374 305318 317061 457977 634122 915954 1373931 1984567 2747862 3969134 4121793 5953701 8243586 11907402 17861103 35722206 53583309 107166618