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678536060 = 225314126693
BaseRepresentation
bin101000011100011…
…010001101111100
31202021210012111012
4220130122031330
52342201123220
6151155214352
722546314146
oct5034321574
91667705435
10678536060
1131901a204
1216b2a73b8
13aa765837
146618bc96
153e882ac5
hex2871a37c

678536060 has 48 divisors (see below), whose sum is σ = 1506822912. Its totient is φ = 256243200.

The previous prime is 678536059. The next prime is 678536063. The reversal of 678536060 is 60635876.

678536060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6785360602 = 920822369440647200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 678535999 and 678536017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678536063) 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, 12074 + ... + 38766.

It is an arithmetic number, because the mean of its divisors is an integer number (31392144).

Almost surely, 2678536060 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 678536060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753411456).

678536060 is an abundant number, since it is smaller than the sum of its proper divisors (828286852).

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

678536060 is a wasteful number, since it uses less digits than its factorization.

678536060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26774 (or 26772 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 678536060 is about 26048.7247288615. The cubic root of 678536060 is about 878.7344325249.

The spelling of 678536060 in words is "six hundred seventy-eight million, five hundred thirty-six thousand, sixty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2542 5084 6355 12710 25420 26693 53386 106772 133465 266930 533860 827483 1094413 1654966 2188826 3309932 4137415 4377652 5472065 8274830 10944130 16549660 21888260 33926803 67853606 135707212 169634015 339268030 678536060