Search a number
-
+
76956 = 22311253
BaseRepresentation
bin10010110010011100
310220120020
4102302130
54430311
61352140
7440235
oct226234
9126506
1076956
1152900
1238650
1329049
142008c
1517c06
hex12c9c

76956 has 36 divisors (see below), whose sum is σ = 201096. Its totient is φ = 22880.

The previous prime is 76949. The next prime is 76961. The reversal of 76956 is 65967.

76956 divided by its sum of digits (33) gives a palindrome (2332).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1426 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

276956 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 76956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

76956 is an abundant number, since it is smaller than the sum of its proper divisors (124140).

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

76956 is a wasteful number, since it uses less digits than its factorization.

76956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 69 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 76956 is about 277.4094446842. The cubic root of 76956 is about 42.5351036388.

The spelling of 76956 in words is "seventy-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 121 132 159 212 242 318 363 484 583 636 726 1166 1452 1749 2332 3498 6413 6996 12826 19239 25652 38478 76956