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968714500 = 225313149033
BaseRepresentation
bin111001101111010…
…110100100000100
32111111210210110211
4321233112210010
53440442331000
6240042525204
733001636345
oct7157264404
92444723424
10968714500
114578a55a6
12230506804
13125905060
14929260cc
155a0a17ba
hex39bd6904

968714500 has 48 divisors (see below), whose sum is σ = 2278431792. Its totient is φ = 357676800.

The previous prime is 968714473. The next prime is 968714507. The reversal of 968714500 is 5417869.

968714500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 635140804 + 333573696 = 25202^2 + 18264^2 .

It is not an unprimeable number, because it can be changed into a prime (968714507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68017 + ... + 81016.

It is an arithmetic number, because the mean of its divisors is an integer number (47467329).

Almost surely, 2968714500 is an apocalyptic number.

It is an amenable number.

968714500 is an abundant number, since it is smaller than the sum of its proper divisors (1309717292).

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

968714500 is a wasteful number, since it uses less digits than its factorization.

968714500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149065 (or 149053 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 968714500 is about 31124.1787040237. The cubic root of 968714500 is about 989.4608158078.

The spelling of 968714500 in words is "nine hundred sixty-eight million, seven hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 149033 298066 596132 745165 1490330 1937429 2980660 3725825 3874858 7451650 7749716 9687145 14903300 18629125 19374290 37258250 38748580 48435725 74516500 96871450 193742900 242178625 484357250 968714500