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23392040 = 2357194397
BaseRepresentation
bin101100100111…
…0111100101000
31122000102211212
41121032330220
521442021130
62153212252
7402554240
oct131167450
948012755
1023392040
1112227871
127a01088
134b00359
14316cb20
1520c0e95
hex164ef28

23392040 has 64 divisors (see below), whose sum is σ = 63331200. Its totient is φ = 7596288.

The previous prime is 23392007. The next prime is 23392049. The reversal of 23392040 is 4029332.

It is a junction number, because it is equal to n+sod(n) for n = 23391997 and 23392015.

It is not an unprimeable number, because it can be changed into a prime (23392049) 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, 3122 + ... + 7518.

It is an arithmetic number, because the mean of its divisors is an integer number (989550).

Almost surely, 223392040 is an apocalyptic number.

23392040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23392040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31665600).

23392040 is an abundant number, since it is smaller than the sum of its proper divisors (39939160).

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

23392040 is a wasteful number, since it uses less digits than its factorization.

23392040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 23392040 is about 4836.5318152577. The cubic root of 23392040 is about 285.9934143593.

The spelling of 23392040 in words is "twenty-three million, three hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 4397 5320 8794 17588 21985 30779 35176 43970 61558 83543 87940 123116 153895 167086 175880 246232 307790 334172 417715 584801 615580 668344 835430 1169602 1231160 1670860 2339204 2924005 3341720 4678408 5848010 11696020 23392040