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532431240 = 2335112511607
BaseRepresentation
bin11111101111000…
…100000110001000
31101002212022100120
4133233010012020
52042300244430
6124455503240
716123406445
oct3757040610
91332768316
10532431240
112535a8520
1212a387b20
13863cb893
14509d89cc
1531b22610
hex1fbc4188

532431240 has 128 divisors (see below), whose sum is σ = 1750533120. Its totient is φ = 128480000.

The previous prime is 532431233. The next prime is 532431247. The reversal of 532431240 is 42134235.

It is an interprime number because it is at equal distance from previous prime (532431233) and next prime (532431247).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 532431240.

It is not an unprimeable number, because it can be changed into a prime (532431247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330517 + ... + 332123.

It is an arithmetic number, because the mean of its divisors is an integer number (13676040).

Almost surely, 2532431240 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 532431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875266560).

532431240 is an abundant number, since it is smaller than the sum of its proper divisors (1218101880).

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

532431240 is a wasteful number, since it uses less digits than its factorization.

532431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 532431240 is about 23074.4716082514. The cubic root of 532431240 is about 810.5027818900.

Adding to 532431240 its reverse (42134235), we get a palindrome (574565475).

The spelling of 532431240 in words is "five hundred thirty-two million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 251 264 330 440 502 660 753 1004 1255 1320 1506 1607 2008 2510 2761 3012 3214 3765 4821 5020 5522 6024 6428 7530 8035 8283 9642 10040 11044 12856 13805 15060 16070 16566 17677 19284 22088 24105 27610 30120 32140 33132 35354 38568 41415 48210 53031 55220 64280 66264 70708 82830 88385 96420 106062 110440 141416 165660 176770 192840 212124 265155 331320 353540 403357 424248 530310 707080 806714 1060620 1210071 1613428 2016785 2121240 2420142 3226856 4033570 4436927 4840284 6050355 8067140 8873854 9680568 12100710 13310781 16134280 17747708 22184635 24201420 26621562 35495416 44369270 48402840 53243124 66553905 88738540 106486248 133107810 177477080 266215620 532431240