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676360640 = 265171011231
BaseRepresentation
bin101000010100000…
…111000111000000
31202010200200101002
4220110013013000
52341122020030
6151040431132
722521653624
oct5024070700
91663620332
10676360640
1131787383a
1216a6184a8
13aa1835c7
1465b83184
153e5a3245
hex285071c0

676360640 has 112 divisors (see below), whose sum is σ = 1723607424. Its totient is φ = 251904000.

The previous prime is 676360571. The next prime is 676360673. The reversal of 676360640 is 46063676.

It is a junction number, because it is equal to n+sod(n) for n = 676360594 and 676360603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548825 + ... + 550055.

It is an arithmetic number, because the mean of its divisors is an integer number (15389352).

Almost surely, 2676360640 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 676360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861803712).

676360640 is an abundant number, since it is smaller than the sum of its proper divisors (1047246784).

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

676360640 is a wasteful number, since it uses less digits than its factorization.

676360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 676360640 is about 26006.9344598705. The cubic root of 676360640 is about 877.7943385340.

The spelling of 676360640 in words is "six hundred seventy-six million, three hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 101 136 160 170 202 272 320 340 404 505 544 680 808 1010 1088 1231 1360 1616 1717 2020 2462 2720 3232 3434 4040 4924 5440 6155 6464 6868 8080 8585 9848 12310 13736 16160 17170 19696 20927 24620 27472 32320 34340 39392 41854 49240 54944 68680 78784 83708 98480 104635 109888 124331 137360 167416 196960 209270 248662 274720 334832 393920 418540 497324 549440 621655 669664 837080 994648 1243310 1339328 1674160 1989296 2113627 2486620 3348320 3978592 4227254 4973240 6696640 7957184 8454508 9946480 10568135 16909016 19892960 21136270 33818032 39785920 42272540 67636064 84545080 135272128 169090160 338180320 676360640