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107186716 = 227213233159
BaseRepresentation
bin1100110001110…
…00101000011100
321110200122112101
412120320220130
5204414433331
614345214444
72441033500
oct630705034
9243618471
10107186716
115555aa6a
122ba91424
131928b9c0
1410342300
159624061
hex6638a1c

107186716 has 144 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 38586240.

The previous prime is 107186713. The next prime is 107186719. The reversal of 107186716 is 617681701.

It is an interprime number because it is at equal distance from previous prime (107186713) and next prime (107186719).

It is a super-2 number, since 2×1071867162 = 22977984173729312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107186713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816695 + ... + 1816753.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2107186716 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 107186716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

107186716 is an abundant number, since it is smaller than the sum of its proper divisors (150216164).

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

107186716 is a wasteful number, since it uses less digits than its factorization.

107186716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 107186716 is about 10353.1017574445. The cubic root of 107186716 is about 475.0219247498.

The spelling of 107186716 in words is "one hundred seven million, one hundred eighty-six thousand, seven hundred sixteen".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 49 52 59 62 91 92 98 118 124 161 182 196 217 236 299 322 364 403 413 434 598 637 644 713 767 806 826 868 1127 1196 1274 1357 1426 1519 1534 1612 1652 1829 2093 2254 2548 2714 2821 2852 2891 3038 3068 3658 4186 4508 4991 5369 5428 5642 5782 6076 7316 8372 9269 9499 9982 10738 11284 11564 12803 14651 17641 18538 18998 19747 19964 21476 23777 25606 29302 34937 35282 37076 37583 37996 39494 42067 47554 51212 58604 64883 66493 69874 70564 75166 78988 84134 89621 95108 123487 129766 132986 139748 150332 166439 168268 179242 246974 259532 265972 294469 332878 358484 454181 493948 546871 588938 665756 864409 908362 1093742 1165073 1177876 1728818 1816724 2061283 2187484 2330146 3457636 3828097 4122566 4660292 7656194 8245132 15312388 26796679 53593358 107186716