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27138696 = 2331326691
BaseRepresentation
bin110011110000…
…1101010001000
31220001210021220
41213201222020
523421414241
62405402040
7446450364
oct147415210
956053256
1027138696
1114356782
129109320
135812800
1438662a4
1525b1166
hex19e1a88

27138696 has 48 divisors (see below), whose sum is σ = 73478160. Its totient is φ = 8349120.

The previous prime is 27138691. The next prime is 27138697. The reversal of 27138696 is 69683172.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27138691) by changing a digit.

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, 711 + ... + 7401.

It is an arithmetic number, because the mean of its divisors is an integer number (1530795).

Almost surely, 227138696 is an apocalyptic number.

27138696 is a gapful number since it is divisible by the number (26) 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 27138696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36739080).

27138696 is an abundant number, since it is smaller than the sum of its proper divisors (46339464).

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

27138696 is a wasteful number, since it uses less digits than its factorization.

27138696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6709 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 27138696 is about 5209.4813561429. The cubic root of 27138696 is about 300.5128118029.

The spelling of 27138696 in words is "twenty-seven million, one hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 6691 13382 20073 26764 40146 53528 80292 86983 160584 173966 260949 347932 521898 695864 1043796 1130779 2087592 2261558 3392337 4523116 6784674 9046232 13569348 27138696