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676187505 = 32572306661
BaseRepresentation
bin101000010011011…
…100110101110001
31202010100212212200
4220103130311301
52341101000010
6151033013413
722520333100
oct5023346561
91663325780
10676187505
11317765754
1216a554269
13aa122866
1465b3a037
153e56bcc0
hex284dcd71

676187505 has 36 divisors (see below), whose sum is σ = 1363419252. Its totient is φ = 309113280.

The previous prime is 676187503. The next prime is 676187507. The reversal of 676187505 is 505781676.

676187505 is a `hidden beast` number, since 6 + 7 + 61 + 87 + 505 = 666.

676187505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (676187503) and next prime (676187507).

It can be written as a sum of positive squares in 2 ways, for example, as 273141729 + 403045776 = 16527^2 + 20076^2 .

It is not a de Polignac number, because 676187505 - 21 = 676187503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (676187503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151126 + ... + 155535.

It is an arithmetic number, because the mean of its divisors is an integer number (37872757).

Almost surely, 2676187505 is an apocalyptic number.

It is an amenable number.

676187505 is an abundant number, since it is smaller than the sum of its proper divisors (687231747).

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

676187505 is a wasteful number, since it uses less digits than its factorization.

676187505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306686 (or 306676 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 676187505 is about 26003.6056153757. The cubic root of 676187505 is about 877.7194327893.

The spelling of 676187505 in words is "six hundred seventy-six million, one hundred eighty-seven thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 306661 919983 1533305 2146627 2759949 4599915 6439881 10733135 13799745 15026389 19319643 32199405 45079167 75131945 96598215 135237501 225395835 676187505