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18621312 = 27371683
BaseRepresentation
bin100011100001…
…0001110000000
31022001001122020
41013002032000
514231340222
61503041440
7314164353
oct107021600
938031566
1018621312
11a569516
1262a0280
133b1ca38
14268a29a
15197c65c
hex11c2380

18621312 has 64 divisors (see below), whose sum is σ = 50232960. Its totient is φ = 6110720.

The previous prime is 18621301. The next prime is 18621313. The reversal of 18621312 is 21312681.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18621313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26923 + ... + 27605.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 218621312 is an apocalyptic number.

18621312 is a gapful number since it is divisible by the number (12) 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 18621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480).

18621312 is an abundant number, since it is smaller than the sum of its proper divisors (31611648).

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

18621312 is an equidigital number, since it uses as much as digits as its factorization.

18621312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 18621312 is about 4315.2418240465. The cubic root of 18621312 is about 265.0554624628.

Adding to 18621312 its reverse (21312681), we get a palindrome (39933993).

The spelling of 18621312 in words is "eighteen million, six hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 683 852 1136 1366 1704 2049 2272 2732 3408 4098 4544 5464 6816 8196 9088 10928 13632 16392 21856 27264 32784 43712 48493 65568 87424 96986 131136 145479 193972 262272 290958 387944 581916 775888 1163832 1551776 2327664 3103552 4655328 6207104 9310656 18621312