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107200060 = 22511716863
BaseRepresentation
bin1100110001110…
…11111000111100
321110201022211121
412120323320330
5204420400220
614345400324
72441120422
oct630737074
9243638747
10107200060
1155569aa0
122ba990a4
1319294ab6
1410347112
159627eaa
hex663be3c

107200060 has 48 divisors (see below), whose sum is σ = 249080832. Its totient is φ = 38427200.

The previous prime is 107200039. The next prime is 107200081. The reversal of 107200060 is 60002701.

It is an interprime number because it is at equal distance from previous prime (107200039) and next prime (107200081).

It is a super-2 number, since 2×1072000602 = 22983705728007200, which contains 22 as substring.

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, 12189 + ... + 19051.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2107200060 is an apocalyptic number.

107200060 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 107200060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416).

107200060 is an abundant number, since it is smaller than the sum of its proper divisors (141880772).

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

107200060 is a wasteful number, since it uses less digits than its factorization.

107200060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 107200060 is about 10353.7461819382. The cubic root of 107200060 is about 475.0416362395.

Adding to 107200060 its reverse (60002701), we get a palindrome (167202761).

The spelling of 107200060 in words is "one hundred seven million, two hundred thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 6863 7810 13726 15620 27452 34315 68630 75493 137260 150986 301972 377465 487273 754930 974546 1509860 1949092 2436365 4872730 5360003 9745460 10720006 21440012 26800015 53600030 107200060