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9970664 = 2311293907
BaseRepresentation
bin100110000010…
…001111101000
3200202120011212
4212002033220
510023030124
6553412252
7150514664
oct46021750
920676155
109970664
1156a0120
12340a088
1320b1402
1414778a4
15d1e40e
hex9823e8

9970664 has 32 divisors (see below), whose sum is σ = 21103200. Its totient is φ = 4374720.

The previous prime is 9970621. The next prime is 9970679. The reversal of 9970664 is 4660799.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (659475).

Almost surely, 29970664 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 9970664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551600).

9970664 is an abundant number, since it is smaller than the sum of its proper divisors (11132536).

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

9970664 is a wasteful number, since it uses less digits than its factorization.

9970664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 9970664 is about 3157.6358244737. The cubic root of 9970664 is about 215.2325876678.

The spelling of 9970664 in words is "nine million, nine hundred seventy thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 3907 7814 15628 31256 42977 85954 113303 171908 226606 343816 453212 906424 1246333 2492666 4985332 9970664