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107388990 = 236514731
BaseRepresentation
bin1100110011010…
…10000000111110
321111001221000000
412121222000332
5204442421430
614353415130
72442535302
oct631520076
9244057000
10107388990
1155688a35
122bb6a4a6
131932caa7
1410395d02
159663e60
hex666a03e

107388990 has 56 divisors (see below), whose sum is σ = 289837368. Its totient is φ = 28635120.

The previous prime is 107388989. The next prime is 107388997. The reversal of 107388990 is 99883701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107388997) 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 27 ways as a sum of consecutive naturals, for example, 76 + ... + 14655.

Almost surely, 2107388990 is an apocalyptic number.

107388990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107388990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144918684).

107388990 is an abundant number, since it is smaller than the sum of its proper divisors (182448378).

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

107388990 is an equidigital number, since it uses as much as digits as its factorization.

107388990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14756 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 107388990 is about 10362.8659163380. The cubic root of 107388990 is about 475.3205444876.

The spelling of 107388990 in words is "one hundred seven million, three hundred eighty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 14731 29462 44193 73655 88386 132579 147310 220965 265158 397737 441930 662895 795474 1193211 1325790 1988685 2386422 3579633 3977370 5966055 7159266 10738899 11932110 17898165 21477798 35796330 53694495 107388990