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27696312 = 23327179307
BaseRepresentation
bin110100110100…
…1110010111000
31221010010012100
41221221302320
524042240222
62425343400
7454262160
oct151516270
957103170
1027696312
11146a7716
129337b60
135979567
14396d5a0
1526714ac
hex1a69cb8

27696312 has 96 divisors (see below), whose sum is σ = 86486400. Its totient is φ = 7843392.

The previous prime is 27696307. The next prime is 27696323. The reversal of 27696312 is 21369672.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90063 + ... + 90369.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 227696312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27696312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243200).

27696312 is an abundant number, since it is smaller than the sum of its proper divisors (58790088).

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

27696312 is a wasteful number, since it uses less digits than its factorization.

27696312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 27696312 is about 5262.7285698580. The cubic root of 27696312 is about 302.5570759501.

The spelling of 27696312 in words is "twenty-seven million, six hundred ninety-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 179 252 307 358 504 537 614 716 921 1074 1228 1253 1432 1611 1842 2148 2149 2456 2506 2763 3222 3684 3759 4296 4298 5012 5526 6444 6447 7368 7518 8596 10024 11052 11277 12888 12894 15036 17192 19341 22104 22554 25788 30072 38682 45108 51576 54953 77364 90216 109906 154728 164859 219812 329718 384671 439624 494577 659436 769342 989154 1154013 1318872 1538684 1978308 2308026 3077368 3462039 3956616 4616052 6924078 9232104 13848156 27696312