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77214 = 2317757
BaseRepresentation
bin10010110110011110
310220220210
4102312132
54432324
61353250
7441054
oct226636
9126823
1077214
1153015
1238826
13291b7
14201d4
1517d29
hex12d9e

77214 has 16 divisors (see below), whose sum is σ = 163728. Its totient is φ = 24192.

The previous prime is 77213. The next prime is 77237. The reversal of 77214 is 41277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (10233).

277214 is an apocalyptic number.

77214 is an abundant number, since it is smaller than the sum of its proper divisors (86514).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81864).

77214 is a wasteful number, since it uses less digits than its factorization.

77214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779.

The product of its digits is 392, while the sum is 21.

The square root of 77214 is about 277.8740721982. The cubic root of 77214 is about 42.5825845187.

Subtracting from 77214 its reverse (41277), we obtain a cube (35937 = 333).

The spelling of 77214 in words is "seventy-seven thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 17 34 51 102 757 1514 2271 4542 12869 25738 38607 77214