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27138200 = 2352294679
BaseRepresentation
bin110011110000…
…1100010011000
31220001202121112
41213201202120
523421410300
62405355452
7446446055
oct147414230
956052545
1027138200
1114356371
129108b88
13581250b
14386602c
1525b0e35
hex19e1898

27138200 has 48 divisors (see below), whose sum is σ = 65286000. Its totient is φ = 10478720.

The previous prime is 27138197. The next prime is 27138217. The reversal of 27138200 is 283172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3461 + ... + 8139.

It is an arithmetic number, because the mean of its divisors is an integer number (1360125).

Almost surely, 227138200 is an apocalyptic number.

27138200 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 27138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643000).

27138200 is an abundant number, since it is smaller than the sum of its proper divisors (38147800).

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

27138200 is a wasteful number, since it uses less digits than its factorization.

27138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 27138200 is about 5209.4337504186. The cubic root of 27138200 is about 300.5109810190.

The spelling of 27138200 in words is "twenty-seven million, one hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 4679 5800 9358 18716 23395 37432 46790 93580 116975 135691 187160 233950 271382 467900 542764 678455 935800 1085528 1356910 2713820 3392275 5427640 6784550 13569100 27138200