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27169056 = 2532293253
BaseRepresentation
bin110011110100…
…1000100100000
31220010022221100
41213221010200
523423402211
62410154400
7446635035
oct147510440
956108840
1027169056
1114377572
129122a00
135823585
14387338c
1525ba156
hex19e9120

27169056 has 72 divisors (see below), whose sum is σ = 79950780. Its totient is φ = 8741376.

The previous prime is 27169039. The next prime is 27169061. The reversal of 27169056 is 65096172.

It can be written as a sum of positive squares in 2 ways, for example, as 23619600 + 3549456 = 4860^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×271690562 = 1476315207862272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27169056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6726 + ... + 9978.

Almost surely, 227169056 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 27169056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39975390).

27169056 is an abundant number, since it is smaller than the sum of its proper divisors (52781724).

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

27169056 is a wasteful number, since it uses less digits than its factorization.

27169056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 27169056 is about 5212.3944593632. The cubic root of 27169056 is about 300.6248310504.

The spelling of 27169056 in words is "twenty-seven million, one hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 3253 4176 6506 8352 9759 13012 19518 26024 29277 39036 52048 58554 78072 94337 104096 117108 156144 188674 234216 283011 312288 377348 468432 566022 754696 849033 936864 1132044 1509392 1698066 2264088 3018784 3396132 4528176 6792264 9056352 13584528 27169056