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96356 = 221317109
BaseRepresentation
bin10111100001100100
311220011202
4113201210
511040411
62022032
7550631
oct274144
9156152
1096356
1166437
1247918
1334b20
1427188
151d83b
hex17864

96356 has 24 divisors (see below), whose sum is σ = 194040. Its totient is φ = 41472.

The previous prime is 96353. The next prime is 96377. The reversal of 96356 is 65369.

96356 = T33 + T34 + ... + T84.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 78400 = 134^2 + 280^2 .

It is not an unprimeable number, because it can be changed into a prime (96353) 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, 830 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

296356 is an apocalyptic number.

It is an amenable number.

96356 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (97020).

96356 is a wasteful number, since it uses less digits than its factorization.

96356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 96356 is about 310.4126286091. The cubic root of 96356 is about 45.8450996421.

The spelling of 96356 in words is "ninety-six thousand, three hundred fifty-six".

Divisors: 1 2 4 13 17 26 34 52 68 109 218 221 436 442 884 1417 1853 2834 3706 5668 7412 24089 48178 96356