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107385480 = 2333599431
BaseRepresentation
bin1100110011010…
…01001010001000
321111001202012000
412121221022020
5204442313410
614353351000
72442522126
oct631511210
9244052160
10107385480
1155686334
122bb68460
131932b307
1410394916
159662dc0
hex6669288

107385480 has 64 divisors (see below), whose sum is σ = 357955200. Its totient is φ = 28635840.

The previous prime is 107385469. The next prime is 107385493. The reversal of 107385480 is 84583701.

107385480 is a `hidden beast` number, since 107 + 3 + 8 + 548 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48636 + ... + 50795.

It is an arithmetic number, because the mean of its divisors is an integer number (5593050).

Almost surely, 2107385480 is an apocalyptic number.

107385480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107385480 is an abundant number, since it is smaller than the sum of its proper divisors (250569720).

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

107385480 is a wasteful number, since it uses less digits than its factorization.

107385480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99451 (or 99441 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 107385480 is about 10362.6965602588. The cubic root of 107385480 is about 475.3153658274.

The spelling of 107385480 in words is "one hundred seven million, three hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 99431 198862 298293 397724 497155 596586 795448 894879 994310 1193172 1491465 1789758 1988620 2386344 2684637 2982930 3579516 3977240 4474395 5369274 5965860 7159032 8948790 10738548 11931720 13423185 17897580 21477096 26846370 35795160 53692740 107385480