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10079964 = 223453587
BaseRepresentation
bin100110011100…
…111011011100
3200222010010000
4212130323130
510040024324
61000014300
7151451436
oct46347334
920863100
1010079964
115765254
123461390
13211c09b
1414a5656
15d419c9
hex99cedc

10079964 has 60 divisors (see below), whose sum is σ = 26893944. Its totient is φ = 3290976.

The previous prime is 10079959. The next prime is 10079969. The reversal of 10079964 is 46997001.

It is an interprime number because it is at equal distance from previous prime (10079959) and next prime (10079969).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16879 + ... + 17465.

Almost surely, 210079964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10079964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446972).

10079964 is an abundant number, since it is smaller than the sum of its proper divisors (16813980).

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

10079964 is a wasteful number, since it uses less digits than its factorization.

10079964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10079964 is about 3174.8959038054. The cubic root of 10079964 is about 216.0162024883.

The spelling of 10079964 in words is "ten million, seventy-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 587 636 954 1174 1431 1761 1908 2348 2862 3522 4293 5283 5724 7044 8586 10566 15849 17172 21132 31111 31698 47547 62222 63396 93333 95094 124444 186666 190188 279999 373332 559998 839997 1119996 1679994 2519991 3359988 5039982 10079964