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107326960 = 24513313329
BaseRepresentation
bin1100110010110…
…10110111110000
321110221202220121
412121122313300
5204433430320
614352220024
72442156406
oct631326760
9243852817
10107326960
1155646374
122bb3a614
131930a7a0
141037b476
1596508aa
hex665adf0

107326960 has 80 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 38338560.

The previous prime is 107326957. The next prime is 107326981. The reversal of 107326960 is 69623701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30576 + ... + 33904.

It is an arithmetic number, because the mean of its divisors is an integer number (3468528).

Almost surely, 2107326960 is an apocalyptic number.

107326960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107326960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

107326960 is an abundant number, since it is smaller than the sum of its proper divisors (170155280).

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

107326960 is a wasteful number, since it uses less digits than its factorization.

107326960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 107326960 is about 10359.8725860891. The cubic root of 107326960 is about 475.2290086853.

The spelling of 107326960 in words is "one hundred seven million, three hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 3329 4030 6448 6658 8060 13316 16120 16645 26632 32240 33290 43277 53264 66580 86554 103199 133160 173108 206398 216385 266320 346216 412796 432770 515995 692432 825592 865540 1031990 1341587 1651184 1731080 2063980 2683174 3462160 4127960 5366348 6707935 8255920 10732696 13415870 21465392 26831740 53663480 107326960