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536796 = 2232133137
BaseRepresentation
bin10000011000011011100
31000021100100
42003003130
5114134141
615301100
74364001
oct2030334
91007310
10536796
11337337
1221a790
1315a440
14dd8a8
15a90b6
hex830dc

536796 has 72 divisors (see below), whose sum is σ = 1549184. Its totient is φ = 155520.

The previous prime is 536791. The next prime is 536801. The reversal of 536796 is 697635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (536791) and next prime (536801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 536796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536791) by changing a digit.

536796 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14490 + ... + 14526.

2536796 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 536796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774592).

536796 is an abundant number, since it is smaller than the sum of its proper divisors (1012388).

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

536796 is a wasteful number, since it uses less digits than its factorization.

536796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 86 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 536796 is about 732.6636336000. The cubic root of 536796 is about 81.2711534666.

The spelling of 536796 in words is "five hundred thirty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 37 39 52 62 74 78 93 111 117 124 148 156 186 222 234 279 333 372 403 444 468 481 558 666 806 962 1116 1147 1209 1332 1443 1612 1924 2294 2418 2886 3441 3627 4329 4588 4836 5772 6882 7254 8658 10323 13764 14508 14911 17316 20646 29822 41292 44733 59644 89466 134199 178932 268398 536796