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107001460 = 22531172583
BaseRepresentation
bin1100110000010…
…11011001110100
321110100020102001
412120023121310
5204343021320
614341225044
72436332416
oct630133164
9243306361
10107001460
1155443865
122ba02184
1319225597
14102d49b6
1595d920a
hex660b674

107001460 has 24 divisors (see below), whose sum is σ = 231952896. Its totient is φ = 41419680.

The previous prime is 107001457. The next prime is 107001481. The reversal of 107001460 is 64100701.

It is a happy number.

It is a super-2 number, since 2×1070014602 = 22898624884263200, 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 7 ways as a sum of consecutive naturals, for example, 85672 + ... + 86911.

It is an arithmetic number, because the mean of its divisors is an integer number (9664704).

Almost surely, 2107001460 is an apocalyptic number.

107001460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107001460 is an abundant number, since it is smaller than the sum of its proper divisors (124951436).

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

107001460 is a wasteful number, since it uses less digits than its factorization.

107001460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172623 (or 172621 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 107001460 is about 10344.1510043116. The cubic root of 107001460 is about 474.7480991231.

The spelling of 107001460 in words is "one hundred seven million, one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 172583 345166 690332 862915 1725830 3451660 5350073 10700146 21400292 26750365 53500730 107001460