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675218304 = 27325311059
BaseRepresentation
bin101000001111110…
…000001110000000
31202001112122101100
4220033300032000
52340323441204
6151000134400
722506155325
oct5017601600
91661478340
10675218304
11317163562
1216a167400
13a9b73677
1465966b4c
153e429a39
hex283f0380

675218304 has 96 divisors (see below), whose sum is σ = 1979850600. Its totient is φ = 220806144.

The previous prime is 675218287. The next prime is 675218321. The reversal of 675218304 is 403812576.

It is an interprime number because it is at equal distance from previous prime (675218287) and next prime (675218321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 55527 + ... + 66585.

Almost surely, 2675218304 is an apocalyptic number.

675218304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989925300).

675218304 is an abundant number, since it is smaller than the sum of its proper divisors (1304632296).

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

675218304 is a wasteful number, since it uses less digits than its factorization.

675218304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11132 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 675218304 is about 25984.9630363408. The cubic root of 675218304 is about 877.2998779033.

The spelling of 675218304 in words is "six hundred seventy-five million, two hundred eighteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3392 3816 5088 6784 7632 10176 11059 15264 20352 22118 30528 33177 44236 61056 66354 88472 99531 132708 176944 199062 265416 353888 398124 530832 586127 707776 796248 1061664 1172254 1415552 1592496 1758381 2123328 2344508 3184992 3516762 4246656 4689016 5275143 6369984 7033524 9378032 10550286 12739968 14067048 18756064 21100572 28134096 37512128 42201144 56268192 75024256 84402288 112536384 168804576 225072768 337609152 675218304