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10049840 = 245269467
BaseRepresentation
bin100110010101…
…100100110000
3200220120210022
4212111210300
510033043330
6555223012
7151264553
oct46254460
920816708
1010049840
115744659
123447a68
13210b468
14149869a
15d37ae5
hex995930

10049840 has 40 divisors (see below), whose sum is σ = 23502960. Its totient is φ = 3996416.

The previous prime is 10049833. The next prime is 10049843. The reversal of 10049840 is 4894001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10049843) 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, 21287 + ... + 21753.

It is an arithmetic number, because the mean of its divisors is an integer number (587574).

Almost surely, 210049840 is an apocalyptic number.

10049840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10049840 is an abundant number, since it is smaller than the sum of its proper divisors (13453120).

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

10049840 is a wasteful number, since it uses less digits than its factorization.

10049840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10049840 is about 3170.1482615171. The cubic root of 10049840 is about 215.8007994306.

The spelling of 10049840 in words is "ten million, forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 467 538 934 1076 1345 1868 2152 2335 2690 3736 4304 4670 5380 7472 9340 10760 18680 21520 37360 125623 251246 502492 628115 1004984 1256230 2009968 2512460 5024920 10049840