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9972669 = 373115319
BaseRepresentation
bin100110000010…
…101110111101
3200202122221010
4212002232331
510023111134
6553425433
7150523560
oct46025675
920678833
109972669
1156a1683
12340b279
1320b22b5
1414784d7
15d1ece9
hex982bbd

9972669 has 16 divisors (see below), whose sum is σ = 15687680. Its totient is φ = 5514480.

The previous prime is 9972653. The next prime is 9972673. The reversal of 9972669 is 9662799.

It is a happy number.

It is not a de Polignac number, because 9972669 - 24 = 9972653 is a prime.

It is a super-2 number, since 2×99726692 = 198908253967122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972649) 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 15 ways as a sum of consecutive naturals, for example, 7009 + ... + 8310.

It is an arithmetic number, because the mean of its divisors is an integer number (980480).

Almost surely, 29972669 is an apocalyptic number.

It is an amenable number.

9972669 is a deficient number, since it is larger than the sum of its proper divisors (5715011).

9972669 is a wasteful number, since it uses less digits than its factorization.

9972669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360.

The product of its digits is 367416, while the sum is 48.

The square root of 9972669 is about 3157.9532928782. The cubic root of 9972669 is about 215.2470137353.

The spelling of 9972669 in words is "nine million, nine hundred seventy-two thousand, six hundred sixty-nine".

Divisors: 1 3 7 21 31 93 217 651 15319 45957 107233 321699 474889 1424667 3324223 9972669