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23382020 = 2255412161
BaseRepresentation
bin101100100110…
…0100000000100
31121222221002202
41121030200010
521441211040
62153054032
7402513104
oct131144004
947887082
1023382020
1112220292
1279b7318
134ac891c
143169204
1520bd015
hex164c804

23382020 has 24 divisors (see below), whose sum is σ = 49215768. Its totient is φ = 9331200.

The previous prime is 23382019. The next prime is 23382031. The reversal of 23382020 is 2028332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2515396 + 20866624 = 1586^2 + 4568^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23381983 and 23382001.

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, 9740 + ... + 11900.

It is an arithmetic number, because the mean of its divisors is an integer number (2050657).

Almost surely, 223382020 is an apocalyptic number.

23382020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23382020 is an abundant number, since it is smaller than the sum of its proper divisors (25833748).

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

23382020 is a wasteful number, since it uses less digits than its factorization.

23382020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 23382020 is about 4835.4958380708. The cubic root of 23382020 is about 285.9525733541.

The spelling of 23382020 in words is "twenty-three million, three hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 541 1082 2161 2164 2705 4322 5410 8644 10805 10820 21610 43220 1169101 2338202 4676404 5845505 11691010 23382020