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2120525232 = 24377278681
BaseRepresentation
bin111111001100100…
…1010010110110000
312110210010211202120
41332121022112300
513320323301412
6550230114240
7103356111210
oct17631122660
95423124676
102120525232
11998a87aa1
124b21ab980
1327a426377
141618b0240
15c626db8c
hex7e64a5b0

2120525232 has 80 divisors (see below), whose sum is σ = 6269932032. Its totient is φ = 604961280.

The previous prime is 2120525213. The next prime is 2120525261. The reversal of 2120525232 is 2325250212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239932 + ... + 248612.

Almost surely, 22120525232 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 2120525232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134966016).

2120525232 is an abundant number, since it is smaller than the sum of its proper divisors (4149406800).

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

2120525232 is a wasteful number, since it uses less digits than its factorization.

2120525232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2120525232 is about 46049.1610347029. The cubic root of 2120525232 is about 1284.7377385208.

Adding to 2120525232 its reverse (2325250212), we get a palindrome (4445775444).

The spelling of 2120525232 in words is "two billion, one hundred twenty million, five hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 727 1454 2181 2908 4362 5089 5816 8681 8724 10178 11632 15267 17362 17448 20356 26043 30534 34724 34896 40712 52086 60767 61068 69448 81424 104172 121534 122136 138896 182301 208344 243068 244272 364602 416688 486136 729204 972272 1458408 2916816 6311087 12622174 18933261 25244348 37866522 44177609 50488696 75733044 88355218 100977392 132532827 151466088 176710436 265065654 302932176 353420872 530131308 706841744 1060262616 2120525232