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968761300 = 225213745201
BaseRepresentation
bin111001101111100…
…001111111010100
32111111220011200011
4321233201333110
53441000330200
6240043530004
733002222653
oct7157417724
92444804604
10968761300
11457927781
12230529904
13125920450
149293919a
155a0b05ba
hex39be1fd4

968761300 has 36 divisors (see below), whose sum is σ = 2263923676. Its totient is φ = 357696000.

The previous prime is 968761273. The next prime is 968761307. The reversal of 968761300 is 3167869.

It can be written as a sum of positive squares in 6 ways, for example, as 30074256 + 938687044 = 5484^2 + 30638^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968761307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371301 + ... + 373900.

Almost surely, 2968761300 is an apocalyptic number.

It is an amenable number.

968761300 is an abundant number, since it is smaller than the sum of its proper divisors (1295162376).

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

968761300 is a wasteful number, since it uses less digits than its factorization.

968761300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745228 (or 745221 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 968761300 is about 31124.9305220108. The cubic root of 968761300 is about 989.4767496460.

The spelling of 968761300 in words is "nine hundred sixty-eight million, seven hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 745201 1490402 2980804 3726005 7452010 9687613 14904020 18630025 19375226 37260050 38750452 48438065 74520100 96876130 193752260 242190325 484380650 968761300