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532531120 = 245111735597
BaseRepresentation
bin11111101111011…
…100011110110000
31101010001101100211
4133233130132300
52042311443440
6124501553504
716124303602
oct3757343660
91333041324
10532531120
11253666570
1212a415894
1386435194
1450a23172
1531b41eea
hex1fbdc7b0

532531120 has 80 divisors (see below), whose sum is σ = 1430185248. Its totient is φ = 182251520.

The previous prime is 532531093. The next prime is 532531123. The reversal of 532531120 is 21135235.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 532531091 and 532531100.

It is not an unprimeable number, because it can be changed into a prime (532531123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839 + ... + 32758.

Almost surely, 2532531120 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 532531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715092624).

532531120 is an abundant number, since it is smaller than the sum of its proper divisors (897654128).

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

532531120 is a wasteful number, since it uses less digits than its factorization.

532531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35638 (or 35632 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 532531120 is about 23076.6358033401. The cubic root of 532531120 is about 810.5534600811.

Adding to 532531120 its reverse (21135235), we get a palindrome (553666355).

The spelling of 532531120 in words is "five hundred thirty-two million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 35597 71194 142388 177985 284776 355970 391567 569552 605149 711940 783134 1210298 1423880 1566268 1957835 2420596 2847760 3025745 3132536 3915670 4841192 6051490 6265072 6656639 7831340 9682384 12102980 13313278 15662680 24205960 26626556 31325360 33283195 48411920 53253112 66566390 106506224 133132780 266265560 532531120