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18214632 = 233428109
BaseRepresentation
bin100010101111…
…0111011101000
31021021101210000
41011132323220
514130332012
61450223000
7310551612
oct105367350
937241700
1018214632
11a310a17
126124a60
133a098b7
1425c1db2
1518ebddc
hex115eee8

18214632 has 40 divisors (see below), whose sum is σ = 51019650. Its totient is φ = 6071328.

The previous prime is 18214631. The next prime is 18214727. The reversal of 18214632 is 23641281.

18214632 is a `hidden beast` number, since 1 + 8 + 21 + 4 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18198756 + 15876 = 4266^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 18214596 and 18214605.

It is not an unprimeable number, because it can be changed into a prime (18214631) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13407 + ... + 14702.

Almost surely, 218214632 is an apocalyptic number.

18214632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18214632 is an abundant number, since it is smaller than the sum of its proper divisors (32805018).

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

18214632 is a wasteful number, since it uses less digits than its factorization.

18214632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28127 (or 28114 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 18214632 is about 4267.8603538541. The cubic root of 18214632 is about 263.1116837370. Note that the first 3 decimals are identical.

The spelling of 18214632 in words is "eighteen million, two hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 28109 56218 84327 112436 168654 224872 252981 337308 505962 674616 758943 1011924 1517886 2023848 2276829 3035772 4553658 6071544 9107316 18214632