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678873920 = 26517124793
BaseRepresentation
bin101000011101101…
…100101101000000
31202022102100221112
4220131230231000
52342242431140
6151210342452
722552222154
oct5035545500
91668370845
10678873920
1131923002a
1216b42aa28
13aa85355a
1466239064
153e8ecc65
hex2876cb40

678873920 has 56 divisors (see below), whose sum is σ = 1711674504. Its totient is φ = 255574016.

The previous prime is 678873919. The next prime is 678873931. The reversal of 678873920 is 29378876.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79995136 + 598878784 = 8944^2 + 24472^2 .

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 7 ways as a sum of consecutive naturals, for example, 56957 + ... + 67836.

Almost surely, 2678873920 is an apocalyptic number.

It is an amenable number.

678873920 is an abundant number, since it is smaller than the sum of its proper divisors (1032800584).

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

678873920 is a wasteful number, since it uses less digits than its factorization.

678873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124827 (or 124817 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 678873920 is about 26055.2090761137. The cubic root of 678873920 is about 878.8802562427.

It can be divided in two parts, 6788 and 73920, that added together give a palindrome (80708).

The spelling of 678873920 in words is "six hundred seventy-eight million, eight hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 124793 249586 499172 623965 998344 1247930 1996688 2121481 2495860 3993376 4242962 4991720 7986752 8485924 9983440 10607405 16971848 19966880 21214810 33943696 39933760 42429620 67887392 84859240 135774784 169718480 339436960 678873920