Search a number
-
+
10832796 = 22321379293
BaseRepresentation
bin101001010100…
…101110011100
3202101100210200
4221110232130
510233122141
61024103500
7161035332
oct51245634
922340720
1010832796
116129927
123764b90
132323950
14161db52
15e3eab6
hexa54b9c

10832796 has 72 divisors (see below), whose sum is σ = 29964480. Its totient is φ = 3279744.

The previous prime is 10832779. The next prime is 10832797. The reversal of 10832796 is 69723801.

10832796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10832796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10832797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36826 + ... + 37118.

Almost surely, 210832796 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 10832796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982240).

10832796 is an abundant number, since it is smaller than the sum of its proper divisors (19131684).

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

10832796 is a wasteful number, since it uses less digits than its factorization.

10832796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 390 counting only the distinct ones).

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

The square root of 10832796 is about 3291.3213152167. The cubic root of 10832796 is about 221.2654073346.

It can be divided in two parts, 10832 and 796, that added together give a triangular number (11628 = T152).

The spelling of 10832796 in words is "ten million, eight hundred thirty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 293 316 468 474 586 711 879 948 1027 1172 1422 1758 2054 2637 2844 3081 3516 3809 4108 5274 6162 7618 9243 10548 11427 12324 15236 18486 22854 23147 34281 36972 45708 46294 68562 69441 92588 137124 138882 208323 277764 300911 416646 601822 833292 902733 1203644 1805466 2708199 3610932 5416398 10832796