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107649700 = 22524212557
BaseRepresentation
bin1100110101010…
…01101010100100
321111120011121221
412122221222210
5210024242300
614403150124
72445002344
oct632515244
9244504557
10107649700
11558468a4
1230075344
13193c1662
1410422d24
1596b631a
hex66a9aa4

107649700 has 36 divisors (see below), whose sum is σ = 234246292. Its totient is φ = 42940800.

The previous prime is 107649697. The next prime is 107649709. The reversal of 107649700 is 7946701.

It can be written as a sum of positive squares in 6 ways, for example, as 28047616 + 79602084 = 5296^2 + 8922^2 .

It is not an unprimeable number, because it can be changed into a prime (107649709) by changing a digit.

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, 40822 + ... + 43378.

Almost surely, 2107649700 is an apocalyptic number.

107649700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107649700 is an abundant number, since it is smaller than the sum of its proper divisors (126596592).

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

107649700 is a wasteful number, since it uses less digits than its factorization.

107649700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 107649700 is about 10375.4373401799. The cubic root of 107649700 is about 475.7048814439.

The spelling of 107649700 in words is "one hundred seven million, six hundred forty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 421 842 1684 2105 2557 4210 5114 8420 10228 10525 12785 21050 25570 42100 51140 63925 127850 255700 1076497 2152994 4305988 5382485 10764970 21529940 26912425 53824850 107649700