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107770260 = 223513314457
BaseRepresentation
bin1100110110001…
…11000110010100
321111210022000010
412123013012110
5210042122020
614405520220
72446014003
oct633070624
9244708003
10107770260
1155919434
1230113070
13194344b0
1410454c3a
1596dbde0
hex66c7194

107770260 has 96 divisors (see below), whose sum is σ = 335526912. Its totient is φ = 25666560.

The previous prime is 107770231. The next prime is 107770279. The reversal of 107770260 is 62077701.

It is a happy number.

It is a super-2 number, since 2×1077702602 = 23228857880935200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21952 + ... + 26408.

It is an arithmetic number, because the mean of its divisors is an integer number (3495072).

Almost surely, 2107770260 is an apocalyptic number.

107770260 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 107770260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167763456).

107770260 is an abundant number, since it is smaller than the sum of its proper divisors (227756652).

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

107770260 is a wasteful number, since it uses less digits than its factorization.

107770260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 107770260 is about 10381.2455900051. The cubic root of 107770260 is about 475.8824003908.

The spelling of 107770260 in words is "one hundred seven million, seven hundred seventy thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4457 4836 6045 8060 8914 12090 13371 17828 22285 24180 26742 44570 53484 57941 66855 89140 115882 133710 138167 173823 231764 267420 276334 289705 347646 414501 552668 579410 690835 695292 829002 869115 1158820 1381670 1658004 1738230 1796171 2072505 2763340 3476460 3592342 4145010 5388513 7184684 8290020 8980855 10777026 17961710 21554052 26942565 35923420 53885130 107770260