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23070920 = 235737901
BaseRepresentation
bin101100000000…
…0100011001000
31121102010100112
41120000203020
521401232140
62142253452
7400046105
oct130004310
947363315
1023070920
1112028584
127887288
134a1a142
1430c7aac
15205ac65
hex16008c8

23070920 has 32 divisors (see below), whose sum is σ = 52627320. Its totient is φ = 9100800.

The previous prime is 23070907. The next prime is 23070973. The reversal of 23070920 is 2907032.

It can be written as a sum of positive squares in 4 ways, for example, as 20593444 + 2477476 = 4538^2 + 1574^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031 + ... + 6870.

Almost surely, 223070920 is an apocalyptic number.

23070920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23070920 is an abundant number, since it is smaller than the sum of its proper divisors (29556400).

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

23070920 is a wasteful number, since it uses less digits than its factorization.

23070920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 23070920 is about 4803.2197534570. The cubic root of 23070920 is about 284.6786981321.

Adding to 23070920 its reverse (2907032), we get a palindrome (25977952).

The spelling of 23070920 in words is "twenty-three million, seventy thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 7901 15802 31604 39505 63208 79010 158020 316040 576773 1153546 2307092 2883865 4614184 5767730 11535460 23070920