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27274086 = 23272172107
BaseRepresentation
bin110100000001…
…0101101100110
31220022200000100
41220002231212
523440232321
62412324530
7450553200
oct150025546
956280010
1027274086
1114439474
129173746
13585c318
14389d770
1525db326
hex1a02b66

27274086 has 108 divisors (see below), whose sum is σ = 73705788. Its totient is φ = 7265664.

The previous prime is 27274081. The next prime is 27274087. The reversal of 27274086 is 68047272.

It is a self number, because there is not a number n which added to its sum of digits gives 27274086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27274081) 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 53 ways as a sum of consecutive naturals, for example, 254845 + ... + 254951.

It is an arithmetic number, because the mean of its divisors is an integer number (682461).

Almost surely, 227274086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27274086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36852894).

27274086 is an abundant number, since it is smaller than the sum of its proper divisors (46431702).

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

27274086 is a wasteful number, since it uses less digits than its factorization.

27274086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27274086 is about 5222.4597652830. The cubic root of 27274086 is about 301.0117175896.

The spelling of 27274086 in words is "twenty-seven million, two hundred seventy-four thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 107 119 126 147 153 214 238 289 294 306 321 357 441 578 642 714 749 833 867 882 963 1071 1498 1666 1734 1819 1926 2023 2142 2247 2499 2601 3638 4046 4494 4998 5202 5243 5457 6069 6741 7497 10486 10914 12138 12733 13482 14161 14994 15729 16371 18207 25466 28322 30923 31458 32742 36414 38199 42483 47187 61846 76398 84966 89131 92769 94374 114597 127449 178262 185538 216461 229194 254898 267393 278307 432922 534786 556614 649383 802179 1298766 1515227 1604358 1948149 3030454 3896298 4545681 9091362 13637043 27274086