Search a number
-
+
714778680 = 2335721143257
BaseRepresentation
bin101010100110101…
…010100000111000
31211210222112000110
4222212222200320
52430440404210
6154532104320
723466342600
oct5246524070
91753875013
10714778680
11337523890
1217b4650a0
13b5115085
146ad03c00
1542b41420
hex2a9aa838

714778680 has 384 divisors, whose sum is σ = 2795316480. Its totient is φ = 144506880.

The previous prime is 714778667. The next prime is 714778699. The reversal of 714778680 is 86877417.

714778680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7147786802 = 1021817122765084800, which contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2781112 + ... + 2781368.

It is an arithmetic number, because the mean of its divisors is an integer number (7279470).

Almost surely, 2714778680 is an apocalyptic number.

714778680 is a gapful number since it is divisible by the number (70) 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 714778680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397658240).

714778680 is an abundant number, since it is smaller than the sum of its proper divisors (2080537800).

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

714778680 is a wasteful number, since it uses less digits than its factorization.

714778680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 714778680 is about 26735.3451445834. The cubic root of 714778680 is about 894.1091309105.

The spelling of 714778680 in words is "seven hundred fourteen million, seven hundred seventy-eight thousand, six hundred eighty".