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677132420 = 225239371571
BaseRepresentation
bin101000010111000…
…011100010000100
31202012010220001112
4220113003202010
52341321214140
6151105144152
722531346666
oct5027034204
91665126045
10677132420
11318250678
1216a92b058
13aa393993
1465d04536
153e6a6c65
hex285c3884

677132420 has 48 divisors (see below), whose sum is σ = 1486332288. Its totient is φ = 258635520.

The previous prime is 677132419. The next prime is 677132447. The reversal of 677132420 is 24231776.

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 15 ways as a sum of consecutive naturals, for example, 430235 + ... + 431805.

It is an arithmetic number, because the mean of its divisors is an integer number (30965256).

Almost surely, 2677132420 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 677132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743166144).

677132420 is an abundant number, since it is smaller than the sum of its proper divisors (809199868).

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

677132420 is a wasteful number, since it uses less digits than its factorization.

677132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 677132420 is about 26021.7681951093. The cubic root of 677132420 is about 878.1280887840.

The spelling of 677132420 in words is "six hundred seventy-seven million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 937 1571 1874 3142 3748 4685 6284 7855 9370 15710 18740 21551 31420 36133 43102 72266 86204 107755 144532 180665 215510 361330 431020 722660 1472027 2944054 5888108 7360135 14720270 29440540 33856621 67713242 135426484 169283105 338566210 677132420