Search a number
-
+
27253660 = 2257533673
BaseRepresentation
bin110011111110…
…1101110011100
31220021121222211
41213331232130
523434104120
62412050204
7450436510
oct147755634
956247884
1027253660
1114425095
129163964
135852c35
143896140
1525d525a
hex19fdb9c

27253660 has 48 divisors (see below), whose sum is σ = 66661056. Its totient is φ = 9165312.

The previous prime is 27253651. The next prime is 27253717. The reversal of 27253660 is 6635272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5584 + ... + 9256.

It is an arithmetic number, because the mean of its divisors is an integer number (1388772).

Almost surely, 227253660 is an apocalyptic number.

27253660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27253660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33330528).

27253660 is an abundant number, since it is smaller than the sum of its proper divisors (39407396).

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

27253660 is a wasteful number, since it uses less digits than its factorization.

27253660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 27253660 is about 5220.5038071052. The cubic root of 27253660 is about 300.9365546569.

The spelling of 27253660 in words is "twenty-seven million, two hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3673 3710 7346 7420 14692 18365 25711 36730 51422 73460 102844 128555 194669 257110 389338 514220 778676 973345 1362683 1946690 2725366 3893380 5450732 6813415 13626830 27253660