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796068 = 2237713
BaseRepresentation
bin11000010010110100100
31111110000000
43002112210
5200433233
625021300
76523620
oct3022644
91443000
10796068
114a4109
12324830
1321b460
1416a180
1510ad13
hexc25a4

796068 has 96 divisors (see below), whose sum is σ = 2571520. Its totient is φ = 209952.

The previous prime is 796067. The next prime is 796091. The reversal of 796068 is 860697.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 796068.

It is not an unprimeable number, because it can be changed into a prime (796063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61230 + ... + 61242.

2796068 is an apocalyptic number.

796068 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285760).

796068 is an abundant number, since it is smaller than the sum of its proper divisors (1775452).

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

796068 is a wasteful number, since it uses less digits than its factorization.

796068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 796068 is about 892.2264286603. The cubic root of 796068 is about 92.6794374224.

Subtracting from 796068 its product of nonzero digits (18144), we obtain a square (777924 = 8822).

The spelling of 796068 in words is "seven hundred ninety-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 729 756 819 972 1053 1092 1134 1404 1458 1638 1701 2106 2187 2268 2457 2916 3159 3276 3402 4212 4374 4914 5103 6318 6804 7371 8748 9477 9828 10206 12636 14742 15309 18954 20412 22113 28431 29484 30618 37908 44226 56862 61236 66339 88452 113724 132678 199017 265356 398034 796068