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23064140 = 22511412557
BaseRepresentation
bin101011111111…
…0111001001100
31121101210001102
41113332321030
521401023030
62142202232
7400020251
oct127767114
947353042
1023064140
1112023480
127883378
134a17028
1430c5428
152058c45
hex15fee4c

23064140 has 48 divisors (see below), whose sum is σ = 54147744. Its totient is φ = 8179200.

The previous prime is 23064133. The next prime is 23064191. The reversal of 23064140 is 4146032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7742 + ... + 10298.

It is an arithmetic number, because the mean of its divisors is an integer number (1128078).

Almost surely, 223064140 is an apocalyptic number.

23064140 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 23064140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27073872).

23064140 is an abundant number, since it is smaller than the sum of its proper divisors (31083604).

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

23064140 is a wasteful number, since it uses less digits than its factorization.

23064140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 23064140 is about 4802.5139250189. The cubic root of 23064140 is about 284.6508086118.

It can be divided in two parts, 2306 and 4140, that added together give a palindrome (6446).

The spelling of 23064140 in words is "twenty-three million, sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 2557 4510 5114 9020 10228 12785 25570 28127 51140 56254 104837 112508 140635 209674 281270 419348 524185 562540 1048370 1153207 2096740 2306414 4612828 5766035 11532070 23064140