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107089400 = 23521148677
BaseRepresentation
bin1100110001000…
…00110111111000
321110111201001002
412120200313320
5204403330100
614343144132
72440146665
oct630406770
9243451032
10107089400
11554a3940
122ba45048
1319256612
1410318a6c
1596052d5
hex6620df8

107089400 has 48 divisors (see below), whose sum is σ = 271623240. Its totient is φ = 38940800.

The previous prime is 107089369. The next prime is 107089421. The reversal of 107089400 is 4980701.

It is a super-2 number, since 2×1070894002 = 22936279184720000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 22139 + ... + 26538.

Almost surely, 2107089400 is an apocalyptic number.

107089400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107089400 is an abundant number, since it is smaller than the sum of its proper divisors (164533840).

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

107089400 is a wasteful number, since it uses less digits than its factorization.

107089400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48704 (or 48695 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 107089400 is about 10348.4008426423. The cubic root of 107089400 is about 474.8781220085.

The spelling of 107089400 in words is "one hundred seven million, eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 48677 97354 194708 243385 389416 486770 535447 973540 1070894 1216925 1947080 2141788 2433850 2677235 4283576 4867700 5354470 9735400 10708940 13386175 21417880 26772350 53544700 107089400