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107080386 = 2372312379
BaseRepresentation
bin1100110000111…
…10101011000010
321110111020200020
412120132223002
5204403033021
614343034310
72440111500
oct630365302
9243436606
10107080386
1155498096
122ba3b996
131925249a
1410315670
1596027c6
hex661eac2

107080386 has 72 divisors (see below), whose sum is σ = 258100560. Its totient is φ = 29529360.

The previous prime is 107080373. The next prime is 107080411. The reversal of 107080386 is 683080701.

It is a super-2 number, since 2×1070803862 = 22932418131817992, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 282345 + ... + 282723.

It is an arithmetic number, because the mean of its divisors is an integer number (3584730).

Almost surely, 2107080386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107080386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129050280).

107080386 is an abundant number, since it is smaller than the sum of its proper divisors (151020174).

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

107080386 is a wasteful number, since it uses less digits than its factorization.

107080386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 107080386 is about 10347.9653072476. The cubic root of 107080386 is about 474.8647977159.

The spelling of 107080386 in words is "one hundred seven million, eighty thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 379 434 651 758 961 1137 1302 1519 1922 2274 2653 2883 3038 4557 5306 5766 6727 7959 9114 11749 13454 15918 18571 20181 23498 35247 37142 40362 47089 55713 70494 82243 94178 111426 141267 164486 246729 282534 364219 493458 575701 728438 1092657 1151402 1727103 2185314 2549533 3454206 5099066 7648599 15297198 17846731 35693462 53540193 107080386