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107418280 = 23523532203
BaseRepresentation
bin1100110011100…
…01001010101000
321111010102011211
412121301022220
5204444341110
614354202504
72443016554
oct631611250
9244112154
10107418280
11556a8a42
122bb83434
1319340218
14103a2864
15966c98a
hex66712a8

107418280 has 64 divisors (see below), whose sum is σ = 257074560. Its totient is φ = 40305408.

The previous prime is 107418277. The next prime is 107418281. The reversal of 107418280 is 82814701.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107418281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47659 + ... + 49861.

It is an arithmetic number, because the mean of its divisors is an integer number (4016790).

Almost surely, 2107418280 is an apocalyptic number.

107418280 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 107418280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128537280).

107418280 is an abundant number, since it is smaller than the sum of its proper divisors (149656280).

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

107418280 is a wasteful number, since it uses less digits than its factorization.

107418280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 107418280 is about 10364.2790390842. The cubic root of 107418280 is about 475.3637546069.

The spelling of 107418280 in words is "one hundred seven million, four hundred eighteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 53 92 106 115 184 212 230 265 424 460 530 920 1060 1219 2120 2203 2438 4406 4876 6095 8812 9752 11015 12190 17624 22030 24380 44060 48760 50669 88120 101338 116759 202676 233518 253345 405352 467036 506690 583795 934072 1013380 1167590 2026760 2335180 2685457 4670360 5370914 10741828 13427285 21483656 26854570 53709140 107418280