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23267140 = 22513109821
BaseRepresentation
bin101100011000…
…0011101000100
31121210002111221
41120300131010
521424022030
62150410124
7401524141
oct130603504
947702457
1023267140
1112151a46
127960944
134a88550
1431393c8
152098e7a
hex1630744

23267140 has 48 divisors (see below), whose sum is σ = 53166960. Its totient is φ = 8501760.

The previous prime is 23267113. The next prime is 23267161. The reversal of 23267140 is 4176232.

23267140 = 5662 + 5672 + ... + 6302.

It can be written as a sum of positive squares in 8 ways, for example, as 1811716 + 21455424 = 1346^2 + 4632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27930 + ... + 28750.

It is an arithmetic number, because the mean of its divisors is an integer number (1107645).

Almost surely, 223267140 is an apocalyptic number.

23267140 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 23267140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26583480).

23267140 is an abundant number, since it is smaller than the sum of its proper divisors (29899820).

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

23267140 is a wasteful number, since it uses less digits than its factorization.

23267140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 23267140 is about 4823.6023882571. The cubic root of 23267140 is about 285.4834924303.

The spelling of 23267140 in words is "twenty-three million, two hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 821 1090 1417 1642 2180 2834 3284 4105 5668 7085 8210 10673 14170 16420 21346 28340 42692 53365 89489 106730 178978 213460 357956 447445 894890 1163357 1789780 2326714 4653428 5816785 11633570 23267140