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23137740 = 22325191673
BaseRepresentation
bin101100001000…
…0110111001100
31121112112000100
41120100313030
521410401430
62143531100
7400444653
oct130206714
947475010
1023137740
11120737aa
1278b9a90
134a41692
14310419a
152070960
hex1610dcc

23137740 has 72 divisors (see below), whose sum is σ = 70656768. Its totient is φ = 6128640.

The previous prime is 23137721. The next prime is 23137753. The reversal of 23137740 is 4773132.

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, 34044 + ... + 34716.

It is an arithmetic number, because the mean of its divisors is an integer number (981344).

Almost surely, 223137740 is an apocalyptic number.

23137740 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 23137740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35328384).

23137740 is an abundant number, since it is smaller than the sum of its proper divisors (47519028).

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

23137740 is a wasteful number, since it uses less digits than its factorization.

23137740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 23137740 is about 4810.1704751495. The cubic root of 23137740 is about 284.9532702701.

The spelling of 23137740 in words is "twenty-three million, one hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 673 764 955 1146 1346 1719 1910 2019 2292 2692 2865 3365 3438 3820 4038 5730 6057 6730 6876 8076 8595 10095 11460 12114 13460 17190 20190 24228 30285 34380 40380 60570 121140 128543 257086 385629 514172 642715 771258 1156887 1285430 1542516 1928145 2313774 2570860 3856290 4627548 5784435 7712580 11568870 23137740