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23790420 = 22325132169
BaseRepresentation
bin101101011000…
…0001101010100
31122202200022200
41122300031110
522042243140
62205524500
7406133553
oct132601524
948680280
1023790420
111247a105
127b73730
134c0c794
143233d9a
15214e030
hex16b0354

23790420 has 36 divisors (see below), whose sum is σ = 72164820. Its totient is φ = 6344064.

The previous prime is 23790419. The next prime is 23790421. The reversal of 23790420 is 2409732.

23790420 is a `hidden beast` number, since 237 + 9 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (23790419) and next prime (23790421).

It can be written as a sum of positive squares in 2 ways, for example, as 17943696 + 5846724 = 4236^2 + 2418^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23790421) 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 11 ways as a sum of consecutive naturals, for example, 65905 + ... + 66264.

Almost surely, 223790420 is an apocalyptic number.

23790420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23790420 is an abundant number, since it is smaller than the sum of its proper divisors (48374400).

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

23790420 is a wasteful number, since it uses less digits than its factorization.

23790420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132184 (or 132179 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23790420 is about 4877.5424139622. The cubic root of 23790420 is about 287.6078284884.

The spelling of 23790420 in words is "twenty-three million, seven hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 132169 264338 396507 528676 660845 793014 1189521 1321690 1586028 1982535 2379042 2643380 3965070 4758084 5947605 7930140 11895210 23790420