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10079928 = 2332139999
BaseRepresentation
bin100110011100…
…111010111000
3200222010001200
4212130322320
510040024203
61000014200
7151451355
oct46347270
920863050
1010079928
115765221
123461360
13211c071
1414a562c
15d419a3
hex99ceb8

10079928 has 24 divisors (see below), whose sum is σ = 27300000. Its totient is φ = 3359952.

The previous prime is 10079921. The next prime is 10079959. The reversal of 10079928 is 82997001.

It is a happy number.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 10079892 and 10079901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079921) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 69928 + ... + 70071.

It is an arithmetic number, because the mean of its divisors is an integer number (1137500).

Almost surely, 210079928 is an apocalyptic number.

10079928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10079928 is an abundant number, since it is smaller than the sum of its proper divisors (17220072).

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

10079928 is a wasteful number, since it uses less digits than its factorization.

10079928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140011 (or 140004 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10079928 is about 3174.8902343231. The cubic root of 10079928 is about 216.0159453249.

The spelling of 10079928 in words is "ten million, seventy-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139999 279998 419997 559996 839994 1119992 1259991 1679988 2519982 3359976 5039964 10079928