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23187040 = 255313463
BaseRepresentation
bin101100001110…
…0111001100000
31121122000122021
41120130321200
521413441130
62144551224
7401041462
oct130347140
947560567
1023187040
11120a7848
127922514
134a5ac56
143118132
15208037a
hex161ce60

23187040 has 48 divisors (see below), whose sum is σ = 55073088. Its totient is φ = 9225216.

The previous prime is 23187029. The next prime is 23187061. The reversal of 23187040 is 4078132.

It is a junction number, because it is equal to n+sod(n) for n = 23186996 and 23187014.

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 7 ways as a sum of consecutive naturals, for example, 49849 + ... + 50311.

It is an arithmetic number, because the mean of its divisors is an integer number (1147356).

Almost surely, 223187040 is an apocalyptic number.

23187040 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 23187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27536544).

23187040 is an abundant number, since it is smaller than the sum of its proper divisors (31886048).

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

23187040 is a wasteful number, since it uses less digits than its factorization.

23187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 23187040 is about 4815.2923068076. The cubic root of 23187040 is about 285.1555117226.

The spelling of 23187040 in words is "twenty-three million, one hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 463 626 926 1252 1565 1852 2315 2504 3130 3704 4630 5008 6260 7408 9260 10016 12520 14816 18520 25040 37040 50080 74080 144919 289838 579676 724595 1159352 1449190 2318704 2898380 4637408 5796760 11593520 23187040