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535074660 = 223451719429
BaseRepresentation
bin11111111001001…
…001011101100100
31101021211121110000
4133321021131210
52043434342120
6125032301300
716155026301
oct3771113544
91337747400
10535074660
1125504356a
1212b241830
1386b15b33
14510c60a8
1531e95990
hex1fe49764

535074660 has 120 divisors (see below), whose sum is σ = 1777378680. Its totient is φ = 134286336.

The previous prime is 535074653. The next prime is 535074667. The reversal of 535074660 is 66470535.

535074660 is a `hidden beast` number, since 53 + 507 + 46 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (535074653) and next prime (535074667).

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 528356196 = 2592^2 + 22986^2 .

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

It is not an unprimeable number, because it can be changed into a prime (535074667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17826 + ... + 37254.

It is an arithmetic number, because the mean of its divisors is an integer number (14811489).

Almost surely, 2535074660 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 535074660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888689340).

535074660 is an abundant number, since it is smaller than the sum of its proper divisors (1242304020).

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

535074660 is a wasteful number, since it uses less digits than its factorization.

535074660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19467 (or 19456 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 535074660 is about 23131.6808727771. The cubic root of 535074660 is about 811.8418989753.

The spelling of 535074660 in words is "five hundred thirty-five million, seventy-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 19429 27540 38858 58287 77716 97145 116574 174861 194290 233148 291435 330293 349722 388580 524583 582870 660586 699444 874305 990879 1049166 1165740 1321172 1573749 1651465 1748610 1981758 2098332 2622915 2972637 3147498 3302930 3497220 3963516 4954395 5245830 5945274 6294996 6605860 7868745 8917911 9908790 10491660 11890548 14863185 15737490 17835822 19817580 26753733 29726370 31474980 35671644 44589555 53507466 59452740 89179110 107014932 133768665 178358220 267537330 535074660