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2132000024 = 2371125113789
BaseRepresentation
bin111111100010011…
…1011110100011000
312111120201211012212
41333010323310120
513331243000044
6551320054252
7103555462340
oct17704736430
95446654185
102132000024
119a45051a0
124b6004388
1327c91329b
14163219d20
15c7288a9e
hex7f13bd18

2132000024 has 64 divisors (see below), whose sum is σ = 5004115200. Its totient is φ = 827280000.

The previous prime is 2132000023. The next prime is 2132000029. The reversal of 2132000024 is 4200002312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2131999972 and 2132000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147722 + ... + 161510.

It is an arithmetic number, because the mean of its divisors is an integer number (78189300).

Almost surely, 22132000024 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 2132000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502057600).

2132000024 is an abundant number, since it is smaller than the sum of its proper divisors (2872115176).

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

2132000024 is a wasteful number, since it uses less digits than its factorization.

2132000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064 (or 14060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2132000024 is about 46173.5857823496. The cubic root of 2132000024 is about 1287.0509369153.

Adding to 2132000024 its reverse (4200002312), we get a palindrome (6332002336).

The spelling of 2132000024 in words is "two billion, one hundred thirty-two million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 251 308 502 616 1004 1757 2008 2761 3514 5522 7028 11044 13789 14056 19327 22088 27578 38654 55156 77308 96523 110312 151679 154616 193046 303358 386092 606716 772184 1061753 1213432 2123506 3461039 4247012 6922078 8494024 13844156 24227273 27688312 38071429 48454546 76142858 96909092 152285716 193818184 266500003 304571432 533000006 1066000012 2132000024