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677120490 = 23257523561
BaseRepresentation
bin101000010111000…
…000100111101010
31202012010021200200
4220113000213222
52341320323430
6151105013030
722531300134
oct5027004752
91665107620
10677120490
11318242712
1216a924176
13aa38b417
1465d00054
153e6a3460
hex285c09ea

677120490 has 24 divisors (see below), whose sum is σ = 1760513508. Its totient is φ = 180565440.

The previous prime is 677120471. The next prime is 677120491. The reversal of 677120490 is 94021776.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 673869681 + 3250809 = 25959^2 + 1803^2 .

It is a super-3 number, since 3×6771204903 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (677120491) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3761691 + ... + 3761870.

Almost surely, 2677120490 is an apocalyptic number.

677120490 is an abundant number, since it is smaller than the sum of its proper divisors (1083393018).

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

677120490 is a wasteful number, since it uses less digits than its factorization.

677120490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523574 (or 7523571 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 677120490 is about 26021.5389629438. The cubic root of 677120490 is about 878.1229316787.

It can be divided in two parts, 6771 and 20490, that added together give a triangular number (27261 = T233).

The spelling of 677120490 in words is "six hundred seventy-seven million, one hundred twenty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 7523561 15047122 22570683 37617805 45141366 67712049 75235610 112853415 135424098 225706830 338560245 677120490