Search a number
-
+
716835072 = 2833130109
BaseRepresentation
bin101010101110100…
…000100100000000
31211221211222212010
4222232200210000
52432002210242
6155044132520
723522666112
oct5256404400
91757758763
10716835072
113386a8888
12180097140
13b5685085
146b2bb3b2
1542dea89c
hex2aba0900

716835072 has 72 divisors (see below), whose sum is σ = 1969434880. Its totient is φ = 231229440.

The previous prime is 716835071. The next prime is 716835083. The reversal of 716835072 is 270538617.

It is a self number, because there is not a number n which added to its sum of digits gives 716835072.

It is not an unprimeable number, because it can be changed into a prime (716835071) 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, 8754 + ... + 38862.

Almost surely, 2716835072 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 716835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984717440).

716835072 is an abundant number, since it is smaller than the sum of its proper divisors (1252599808).

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

716835072 is a wasteful number, since it uses less digits than its factorization.

716835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30159 (or 30145 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 716835072 is about 26773.7758263567. The cubic root of 716835072 is about 894.9657496542.

The spelling of 716835072 in words is "seven hundred sixteen million, eight hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 30109 60218 90327 120436 180654 240872 361308 481744 722616 933379 963488 1445232 1866758 1926976 2800137 2890464 3733516 3853952 5600274 5780928 7467032 7707904 11200548 11561856 14934064 22401096 23123712 29868128 44802192 59736256 89604384 119472512 179208768 238945024 358417536 716835072