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107321676 = 223711210559
BaseRepresentation
bin1100110010110…
…01100101001100
321110221111122220
412121121211030
5204433243201
614352135340
72442135120
oct631314514
9243844586
10107321676
1155642400
122bb37550
1319308267
1410379580
15964e036
hex665994c

107321676 has 72 divisors (see below), whose sum is σ = 314603520. Its totient is φ = 27873120.

The previous prime is 107321647. The next prime is 107321681. The reversal of 107321676 is 676123701.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 4885 + ... + 15443.

Almost surely, 2107321676 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 107321676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157301760).

107321676 is an abundant number, since it is smaller than the sum of its proper divisors (207281844).

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

107321676 is a wasteful number, since it uses less digits than its factorization.

107321676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10595 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 107321676 is about 10359.6175605087. The cubic root of 107321676 is about 475.2212096158.

The spelling of 107321676 in words is "one hundred seven million, three hundred twenty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 10559 21118 31677 42236 63354 73913 116149 126708 147826 221739 232298 295652 348447 443478 464596 696894 813043 886956 1277639 1393788 1626086 2439129 2555278 3252172 3832917 4878258 5110556 7665834 8943473 9756516 15331668 17886946 26830419 35773892 53660838 107321676