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27123400 = 2352135617
BaseRepresentation
bin110011101110…
…1111011001000
31220001000022101
41213131323020
523420422100
62405203144
7446354653
oct147357310
956030271
1027123400
1114346237
1291004b4
135808865
14386089a
1525ab86a
hex19ddec8

27123400 has 24 divisors (see below), whose sum is σ = 63062370. Its totient is φ = 10849280.

The previous prime is 27123391. The next prime is 27123403. The reversal of 27123400 is 432172.

It can be written as a sum of positive squares in 3 ways, for example, as 16793604 + 10329796 = 4098^2 + 3214^2 .

It is a super-3 number, since 3×271234003 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (27123403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67609 + ... + 68008.

Almost surely, 227123400 is an apocalyptic number.

27123400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27123400 is an abundant number, since it is smaller than the sum of its proper divisors (35938970).

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

27123400 is a wasteful number, since it uses less digits than its factorization.

27123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135633 (or 135624 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 27123400 is about 5208.0130568193. The cubic root of 27123400 is about 300.4563425234.

Adding to 27123400 its reverse (432172), we get a palindrome (27555572).

The spelling of 27123400 in words is "twenty-seven million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 135617 271234 542468 678085 1084936 1356170 2712340 3390425 5424680 6780850 13561700 27123400