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10079104 = 27721607
BaseRepresentation
bin100110011100…
…101110000000
3200222001221011
4212130232000
510040012404
61000010304
7151446100
oct46345600
920861834
1010079104
115764642
123460994
13211b889
1414a5200
15d41604
hex99cb80

10079104 has 48 divisors (see below), whose sum is σ = 23372280. Its totient is φ = 4316928.

The previous prime is 10079087. The next prime is 10079107. The reversal of 10079104 is 40197001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5469 + ... + 7075.

Almost surely, 210079104 is an apocalyptic number.

10079104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686140).

10079104 is an abundant number, since it is smaller than the sum of its proper divisors (13293176).

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

10079104 is an equidigital number, since it uses as much as digits as its factorization.

10079104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 10079104 is about 3174.7604634051. The cubic root of 10079104 is about 216.0100589737.

The spelling of 10079104 in words is "ten million, seventy-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 1607 3136 3214 6272 6428 11249 12856 22498 25712 44996 51424 78743 89992 102848 157486 179984 205696 314972 359968 629944 719936 1259888 1439872 2519776 5039552 10079104