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677518020 = 22365311499
BaseRepresentation
bin101000011000100…
…001101011000100
31202012212111000000
4220120201223010
52341421034040
6151121321300
722534544124
oct5030415304
91665774000
10677518020
11318494353
1216aa96230
13aa49a34a
1465da4c84
153e731130
hex28621ac4

677518020 has 168 divisors, whose sum is σ = 2203488000. Its totient is φ = 174726720.

The previous prime is 677518013. The next prime is 677518031. The reversal of 677518020 is 20815776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 451231 + ... + 452729.

It is an arithmetic number, because the mean of its divisors is an integer number (13116000).

Almost surely, 2677518020 is an apocalyptic number.

677518020 is a gapful number since it is divisible by the number (60) 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 677518020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101744000).

677518020 is an abundant number, since it is smaller than the sum of its proper divisors (1525969980).

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

677518020 is a wasteful number, since it uses less digits than its factorization.

677518020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 677518020 is about 26029.1763219661. The cubic root of 677518020 is about 878.2947435018.

The spelling of 677518020 in words is "six hundred seventy-seven million, five hundred eighteen thousand, twenty".