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107422980 = 223572511019
BaseRepresentation
bin1100110011100…
…10010100000100
321111010122121220
412121302110010
5210000013410
614354240340
72443036350
oct631622404
9244118556
10107422980
1155701525
122bb860b0
13193423c2
14103a4460
15966e070
hex6672504

107422980 has 96 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 24432000.

The previous prime is 107422969. The next prime is 107423003. The reversal of 107422980 is 89224701.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104911 + ... + 105929.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2107422980 is an apocalyptic number.

107422980 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 107422980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

107422980 is an abundant number, since it is smaller than the sum of its proper divisors (238038780).

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

107422980 is a wasteful number, since it uses less digits than its factorization.

107422980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 107422980 is about 10364.5057769293. The cubic root of 107422980 is about 475.3706875581.

The spelling of 107422980 in words is "one hundred seven million, four hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 753 1004 1019 1255 1506 1757 2038 2510 3012 3057 3514 3765 4076 5020 5095 5271 6114 7028 7133 7530 8785 10190 10542 12228 14266 15060 15285 17570 20380 21084 21399 26355 28532 30570 35140 35665 42798 52710 61140 71330 85596 105420 106995 142660 213990 255769 427980 511538 767307 1023076 1278845 1534614 1790383 2557690 3069228 3580766 3836535 5115380 5371149 7161532 7673070 8951915 10742298 15346140 17903830 21484596 26855745 35807660 53711490 107422980