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27270756 = 2234731153
BaseRepresentation
bin110100000000…
…1111001100100
31220022111110000
41220001321210
523440131011
62412301300
7450540402
oct150017144
956274400
1027270756
1114436a17
129171830
13585a956
14389c472
1525da356
hex1a01e64

27270756 has 60 divisors (see below), whose sum is σ = 72330412. Its totient is φ = 8957952.

The previous prime is 27270697. The next prime is 27270767. The reversal of 27270756 is 65707272.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 8608356 = 4320^2 + 2934^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 27270756.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23076 + ... + 24228.

Almost surely, 227270756 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 27270756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36165206).

27270756 is an abundant number, since it is smaller than the sum of its proper divisors (45059656).

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

27270756 is a wasteful number, since it uses less digits than its factorization.

27270756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 27270756 is about 5222.1409402658. The cubic root of 27270756 is about 300.9994665244. Note that the first 3 decimals are identical.

The spelling of 27270756 in words is "twenty-seven million, two hundred seventy thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1153 1314 1971 2306 2628 3459 3942 4612 5913 6918 7884 10377 11826 13836 20754 23652 31131 41508 62262 84169 93393 124524 168338 186786 252507 336676 373572 505014 757521 1010028 1515042 2272563 3030084 4545126 6817689 9090252 13635378 27270756