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10047264 = 253104659
BaseRepresentation
bin100110010100…
…111100100000
3200220110020220
4212110330200
510033003024
6555203040
7151254213
oct46247440
920813226
1010047264
115742727
123446480
13210a236
14149777a
15d36e79
hex994f20

10047264 has 24 divisors (see below), whose sum is σ = 26374320. Its totient is φ = 3349056.

The previous prime is 10047241. The next prime is 10047269. The reversal of 10047264 is 46274001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10047269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52234 + ... + 52425.

It is an arithmetic number, because the mean of its divisors is an integer number (1098930).

Almost surely, 210047264 is an apocalyptic number.

It is an amenable number.

10047264 is an abundant number, since it is smaller than the sum of its proper divisors (16327056).

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

10047264 is a wasteful number, since it uses less digits than its factorization.

10047264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104672 (or 104664 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10047264 is about 3169.7419453325. The cubic root of 10047264 is about 215.7823596557.

The spelling of 10047264 in words is "ten million, forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104659 209318 313977 418636 627954 837272 1255908 1674544 2511816 3349088 5023632 10047264