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107673696 = 25321328759
BaseRepresentation
bin1100110101011…
…11100001100000
321111121101112200
412122233201200
5210031024241
614403453200
72445132324
oct632574140
9244541480
10107673696
1155862929
1230087200
13193cc560
141042b984
1596bd4b6
hex66af860

107673696 has 72 divisors (see below), whose sum is σ = 329762160. Its totient is φ = 33129216.

The previous prime is 107673679. The next prime is 107673719. The reversal of 107673696 is 696376701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10636 + ... + 18123.

It is an arithmetic number, because the mean of its divisors is an integer number (4580030).

Almost surely, 2107673696 is an apocalyptic number.

107673696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107673696 is an abundant number, since it is smaller than the sum of its proper divisors (222088464).

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

107673696 is a wasteful number, since it uses less digits than its factorization.

107673696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28788 (or 28777 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 107673696 is about 10376.5936607347. The cubic root of 107673696 is about 475.7402249896.

The spelling of 107673696 in words is "one hundred seven million, six hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 28759 57518 86277 115036 172554 230072 258831 345108 373867 460144 517662 690216 747734 920288 1035324 1121601 1380432 1495468 2070648 2243202 2760864 2990936 3364803 4141296 4486404 5981872 6729606 8282592 8972808 11963744 13459212 17945616 26918424 35891232 53836848 107673696