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107063190 = 23251327039
BaseRepresentation
bin1100110000110…
…10011110010110
321110110101002100
412120122132112
5204402010230
614342422530
72440010403
oct630323626
9243411070
10107063190
1155486183
122ba31a46
1319247700
141030d2aa
1595ec660
hex661a796

107063190 has 72 divisors (see below), whose sum is σ = 301466880. Its totient is φ = 26350272.

The previous prime is 107063153. The next prime is 107063191. The reversal of 107063190 is 91360701.

It is a super-2 number, since 2×1070631902 = 22925053305952200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107063191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11691 + ... + 18729.

It is an arithmetic number, because the mean of its divisors is an integer number (4187040).

Almost surely, 2107063190 is an apocalyptic number.

107063190 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 107063190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150733440).

107063190 is an abundant number, since it is smaller than the sum of its proper divisors (194403690).

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

107063190 is a wasteful number, since it uses less digits than its factorization.

107063190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 107063190 is about 10347.1343859061. The cubic root of 107063190 is about 474.8393769004.

The spelling of 107063190 in words is "one hundred seven million, sixty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7039 7605 14078 15210 21117 35195 42234 63351 70390 91507 105585 126702 183014 211170 274521 316755 457535 549042 633510 823563 915070 1189591 1372605 1647126 2379182 2745210 3568773 4117815 5947955 7137546 8235630 10706319 11895910 17843865 21412638 35687730 53531595 107063190