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677017420 = 225234135897
BaseRepresentation
bin101000010110100…
…111011101001100
31202011221001022021
4220112213131030
52341304024140
6151102455524
722530360502
oct5026473514
91664831267
10677017420
11318182232
1216a8945a4
13aa353531
1465cb4672
153e682b4a
hex285a774c

677017420 has 48 divisors (see below), whose sum is σ = 1519777728. Its totient is φ = 252707840.

The previous prime is 677017399. The next prime is 677017423. The reversal of 677017420 is 24710776.

677017420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (677017423) 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, 912 + ... + 36808.

It is an arithmetic number, because the mean of its divisors is an integer number (31662036).

Almost surely, 2677017420 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 677017420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759888864).

677017420 is an abundant number, since it is smaller than the sum of its proper divisors (842760308).

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

677017420 is a wasteful number, since it uses less digits than its factorization.

677017420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35970 (or 35968 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 677017420 is about 26019.5584128555. The cubic root of 677017420 is about 878.0783740140.

The spelling of 677017420 in words is "six hundred seventy-seven million, seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18860 35897 71794 143588 179485 358970 717940 825631 1471777 1651262 2943554 3302524 4128155 5887108 7358885 8256310 14717770 16512620 29435540 33850871 67701742 135403484 169254355 338508710 677017420