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23279040 = 2632559137
BaseRepresentation
bin101100011001…
…1010111000000
31121210200211200
41120303113000
521424412130
62150541200
7401603631
oct130632700
947720750
1023279040
111215a984
127967800
134a90aa5
14313d888
15209c760
hex16335c0

23279040 has 168 divisors, whose sum is σ = 82021680. Its totient is φ = 6057984.

The previous prime is 23279033. The next prime is 23279051. The reversal of 23279040 is 4097232.

It is a junction number, because it is equal to n+sod(n) for n = 23278995 and 23279013.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169852 + ... + 169988.

Almost surely, 223279040 is an apocalyptic number.

23279040 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 23279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41010840).

23279040 is an abundant number, since it is smaller than the sum of its proper divisors (58742640).

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

23279040 is a wasteful number, since it uses less digits than its factorization.

23279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

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

The square root of 23279040 is about 4824.8357484996. The cubic root of 23279040 is about 285.5321543995.

The spelling of 23279040 in words is "twenty-three million, two hundred seventy-nine thousand, forty".