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532507140 = 22325111312053
BaseRepresentation
bin11111101111010…
…110101000000100
31101010000011110200
4133233112220010
52042310212030
6124501250500
716124143644
oct3757265004
91333004420
10532507140
1125364a550
1212a403a30
13864272a9
1450a18524
1531b39d60
hex1fbd6a04

532507140 has 144 divisors (see below), whose sum is σ = 1776430656. Its totient is φ = 128044800.

The previous prime is 532507127. The next prime is 532507153. The reversal of 532507140 is 41705235.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (532507127) and next prime (532507153).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258354 + ... + 260406.

It is an arithmetic number, because the mean of its divisors is an integer number (12336324).

Almost surely, 2532507140 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 532507140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888215328).

532507140 is an abundant number, since it is smaller than the sum of its proper divisors (1243923516).

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

532507140 is a wasteful number, since it uses less digits than its factorization.

532507140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 532507140 is about 23076.1162243563. The cubic root of 532507140 is about 810.5412934283.

The spelling of 532507140 in words is "five hundred thirty-two million, five hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 131 132 165 180 198 220 262 330 393 396 495 524 655 660 786 990 1179 1310 1441 1572 1965 1980 2053 2358 2620 2882 3930 4106 4323 4716 5764 5895 6159 7205 7860 8212 8646 10265 11790 12318 12969 14410 17292 18477 20530 21615 22583 23580 24636 25938 28820 30795 36954 41060 43230 45166 51876 61590 64845 67749 73908 86460 90332 92385 112915 123180 129690 135498 184770 203247 225830 259380 268943 270996 338745 369540 406494 451660 537886 677490 806829 812988 1016235 1075772 1344715 1354980 1613658 2032470 2420487 2689430 2958373 3227316 4034145 4064940 4840974 5378860 5916746 8068290 8875119 9681948 11833492 12102435 14791865 16136580 17750238 24204870 26625357 29583730 35500476 44375595 48409740 53250714 59167460 88751190 106501428 133126785 177502380 266253570 532507140