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675936765 = 335723137227
BaseRepresentation
bin101000010010011…
…111100111111101
31202002220010221000
4220102133213331
52341014434030
6151023400513
722515240060
oct5022374775
91662803830
10675936765
11317604329
1216a453139
13aa0656aa
1465ab28d7
153e51c860
hex2849f9fd

675936765 has 128 divisors (see below), whose sum is σ = 1449861120. Its totient is φ = 292114944.

The previous prime is 675936697. The next prime is 675936769. The reversal of 675936765 is 567639576.

It is not a de Polignac number, because 675936765 - 27 = 675936637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675936769) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2977582 + ... + 2977808.

It is an arithmetic number, because the mean of its divisors is an integer number (11327040).

Almost surely, 2675936765 is an apocalyptic number.

It is an amenable number.

675936765 is an abundant number, since it is smaller than the sum of its proper divisors (773924355).

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

675936765 is a wasteful number, since it uses less digits than its factorization.

675936765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The square root of 675936765 is about 25998.7839138680. The cubic root of 675936765 is about 877.6109290693.

The spelling of 675936765 in words is "six hundred seventy-five million, nine hundred thirty-six thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 137 161 189 207 227 315 345 411 483 621 681 685 805 945 959 1035 1135 1233 1449 1589 2043 2055 2415 2877 3105 3151 3405 3699 4347 4767 4795 5221 6129 6165 7245 7945 8631 9453 10215 14301 14385 15663 15755 18495 21735 22057 23835 25893 26105 28359 30645 31099 36547 42903 43155 46989 47265 66171 71505 78315 85077 93297 109641 110285 129465 140967 141795 155495 182735 198513 214515 217693 234945 279891 328923 330855 425385 466485 548205 595539 653079 704835 715277 839673 986769 992565 1088465 1399455 1644615 1959237 2145831 2977695 3265395 3576385 4198365 4933845 5006939 5877711 6437493 9796185 10729155 15020817 19312479 25034695 29388555 32187465 45062451 75104085 96562395 135187353 225312255 675936765