Search a number
-
+
716051020 = 225315092269
BaseRepresentation
bin101010101011100…
…001001001001100
31211220101011100011
4222223201021030
52431302113040
6155015243004
723513222206
oct5253411114
91756334304
10716051020
11338212803
1217b979464
13b546c239
146b155776
1542ce33ea
hex2aae124c

716051020 has 48 divisors (see below), whose sum is σ = 1555948800. Its totient is φ = 276514560.

The previous prime is 716051003. The next prime is 716051059. The reversal of 716051020 is 20150617.

It is a junction number, because it is equal to n+sod(n) for n = 716050982 and 716051000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314446 + ... + 316714.

It is an arithmetic number, because the mean of its divisors is an integer number (32415600).

Almost surely, 2716051020 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 716051020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777974400).

716051020 is an abundant number, since it is smaller than the sum of its proper divisors (839897780).

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

716051020 is a wasteful number, since it uses less digits than its factorization.

716051020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 716051020 is about 26759.1296569974. The cubic root of 716051020 is about 894.6393353453.

The spelling of 716051020 in words is "seven hundred sixteen million, fifty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 509 620 1018 2036 2269 2545 4538 5090 9076 10180 11345 15779 22690 31558 45380 63116 70339 78895 140678 157790 281356 315580 351695 703390 1154921 1406780 2309842 4619684 5774605 11549210 23098420 35802551 71605102 143210204 179012755 358025510 716051020