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2112532520 = 2357232231471
BaseRepresentation
bin111110111101010…
…1011000000101000
312110020002202211012
41331322223000220
513311302020040
6545342523052
7103231141640
oct17572530050
95406082735
102112532520
11994518a4a
124ab596488
13278888357
141607cd520
15c56e0865
hex7deab028

2112532520 has 128 divisors (see below), whose sum is σ = 5697699840. Its totient is φ = 689230080.

The previous prime is 2112532507. The next prime is 2112532529. The reversal of 2112532520 is 252352112.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2112532529) 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, 1435385 + ... + 1436855.

It is an arithmetic number, because the mean of its divisors is an integer number (44513280).

Almost surely, 22112532520 is an apocalyptic number.

2112532520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848849920).

2112532520 is an abundant number, since it is smaller than the sum of its proper divisors (3585167320).

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

2112532520 is a wasteful number, since it uses less digits than its factorization.

2112532520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2112532520 is about 45962.2945467260. The cubic root of 2112532520 is about 1283.1215560288.

Adding to 2112532520 its reverse (252352112), we get a palindrome (2364884632).

The spelling of 2112532520 in words is "two billion, one hundred twelve million, five hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 223 230 280 322 446 460 644 805 892 920 1115 1288 1471 1561 1610 1784 2230 2942 3122 3220 4460 5129 5884 6244 6440 7355 7805 8920 10258 10297 11768 12488 14710 15610 20516 20594 25645 29420 31220 33833 35903 41032 41188 51290 51485 58840 62440 67666 71806 82376 102580 102970 135332 143612 169165 179515 205160 205940 236831 270664 287224 328033 338330 359030 411880 473662 656066 676660 718060 947324 1184155 1312132 1353320 1436120 1640165 1894648 2296231 2368310 2624264 3280330 4592462 4736620 6560660 7544759 9184924 9473240 11481155 13121320 15089518 18369848 22962310 30179036 37723795 45924620 52813313 60358072 75447590 91849240 105626626 150895180 211253252 264066565 301790360 422506504 528133130 1056266260 2112532520