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10669920 = 253522229
BaseRepresentation
bin101000101100…
…111101100000
3202002002101020
4220230331200
510212414140
61020405440
7156456432
oct50547540
922062336
1010669920
116028518
1236a6880
132297781
1415ba652
15e0b6d0
hexa2cf60

10669920 has 48 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 2845184.

The previous prime is 10669913. The next prime is 10669927. The reversal of 10669920 is 2996601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10669913) and next prime (10669927).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106699202 = 227694385612800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10669927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10635 + ... + 11594.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 210669920 is an apocalyptic number.

10669920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10669920 is an abundant number, since it is smaller than the sum of its proper divisors (22941840).

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

10669920 is a wasteful number, since it uses less digits than its factorization.

10669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22247 (or 22239 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 10669920 is about 3266.4843486538. The cubic root of 10669920 is about 220.1508607139.

The spelling of 10669920 in words is "ten million, six hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 22229 44458 66687 88916 111145 133374 177832 222290 266748 333435 355664 444580 533496 666870 711328 889160 1066992 1333740 1778320 2133984 2667480 3556640 5334960 10669920