Search a number
-
+
27640256 = 267103599
BaseRepresentation
bin110100101110…
…0000111000000
31221000021022012
41221130013000
524033442011
62424232052
7453636560
oct151340700
957007265
1027640256
1114669596
12930b628
135959ba7
143956da0
15265ea8b
hex1a5c1c0

27640256 has 56 divisors (see below), whose sum is σ = 63398400. Its totient is φ = 11711232.

The previous prime is 27640243. The next prime is 27640267. The reversal of 27640256 is 65204672.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45845 + ... + 46443.

Almost surely, 227640256 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 27640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699200).

27640256 is an abundant number, since it is smaller than the sum of its proper divisors (35758144).

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

27640256 is a wasteful number, since it uses less digits than its factorization.

27640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 27640256 is about 5257.4001179290. The cubic root of 27640256 is about 302.3528177743.

The spelling of 27640256 in words is "twenty-seven million, six hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 599 721 824 1198 1442 1648 2396 2884 3296 4193 4792 5768 6592 8386 9584 11536 16772 19168 23072 33544 38336 46144 61697 67088 123394 134176 246788 268352 431879 493576 863758 987152 1727516 1974304 3455032 3948608 6910064 13820128 27640256