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107363416 = 23314761151
BaseRepresentation
bin1100110011000…
…11110001011000
321111000121220211
412121203301120
5204441112131
614353100504
72442400606
oct631436130
9244017824
10107363416
11556707a6
122bb57734
1319321264
141038a876
15965b5b1
hex6663c58

107363416 has 64 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 49680000.

The previous prime is 107363407. The next prime is 107363419. The reversal of 107363416 is 614363701.

It is a hoax number, since the sum of its digits (31) 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 (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107363419) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 710941 + ... + 711091.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2107363416 is an apocalyptic number.

It is an amenable number.

107363416 is an abundant number, since it is smaller than the sum of its proper divisors (109765544).

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

107363416 is a wasteful number, since it uses less digits than its factorization.

107363416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 107363416 is about 10361.6319178014. The cubic root of 107363416 is about 475.2828099779.

The spelling of 107363416 in words is "one hundred seven million, three hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 31 47 61 62 94 122 124 151 188 244 248 302 376 488 604 1208 1457 1891 2867 2914 3782 4681 5734 5828 7097 7564 9211 9362 11468 11656 14194 15128 18422 18724 22936 28388 36844 37448 56776 73688 88877 177754 220007 285541 355508 432917 440014 571082 711016 865834 880028 1142164 1731668 1760056 2284328 3463336 13420427 26840854 53681708 107363416