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10642460 = 2253371579
BaseRepresentation
bin101000100110…
…010000011100
3202000200201012
4220212100130
510211024320
61020034352
7156313403
oct50462034
922020635
1010642460
116009924
1236929b8
13228811a
1415b063a
15e034c5
hexa2641c

10642460 has 24 divisors (see below), whose sum is σ = 22429680. Its totient is φ = 4241664.

The previous prime is 10642439. The next prime is 10642469. The reversal of 10642460 is 6424601.

It is a happy number.

It is a super-2 number, since 2×106424602 = 226523909703200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5951 + ... + 7529.

It is an arithmetic number, because the mean of its divisors is an integer number (934570).

Almost surely, 210642460 is an apocalyptic number.

10642460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642460 is an abundant number, since it is smaller than the sum of its proper divisors (11787220).

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

10642460 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10642459) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1925).

10642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 10642460 is about 3262.2783449608. The cubic root of 10642460 is about 219.9618391111.

The spelling of 10642460 in words is "ten million, six hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 337 674 1348 1579 1685 3158 3370 6316 6740 7895 15790 31580 532123 1064246 2128492 2660615 5321230 10642460