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27914136 = 23317312207
BaseRepresentation
bin110101001111…
…0111110011000
31221112011222220
41222132332120
524121223021
62434144040
7456160215
oct152367630
957464886
1027914136
1114836338
129422020
135a24753
1439c8b0c
1526b5cc6
hex1a9ef98

27914136 has 64 divisors (see below), whose sum is σ = 76308480. Its totient is φ = 8471040.

The previous prime is 27914123. The next prime is 27914171. The reversal of 27914136 is 63141972.

It is a junction number, because it is equal to n+sod(n) for n = 27914097 and 27914106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11545 + ... + 13751.

It is an arithmetic number, because the mean of its divisors is an integer number (1192320).

Almost surely, 227914136 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 27914136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38154240).

27914136 is an abundant number, since it is smaller than the sum of its proper divisors (48394344).

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

27914136 is a wasteful number, since it uses less digits than its factorization.

27914136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2260 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 27914136 is about 5283.3830071272. The cubic root of 27914136 is about 303.3481821281.

The spelling of 27914136 in words is "twenty-seven million, nine hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 2207 3162 4216 4414 6324 6621 8828 12648 13242 17656 26484 37519 52968 68417 75038 112557 136834 150076 205251 225114 273668 300152 410502 450228 547336 821004 900456 1163089 1642008 2326178 3489267 4652356 6978534 9304712 13957068 27914136