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2151122560 = 27529115901
BaseRepresentation
bin1000000000110111…
…1000011010000000
312112220201100101221
42000031320122000
513401141410220
6553242004424
7104210145226
oct20015703200
95486640357
102151122560
11a04286244
125004a6714
1328387a1b2
14165996b16
15c8cb49aa
hex80378680

2151122560 has 64 divisors (see below), whose sum is σ = 5319901800. Its totient is φ = 830771200.

The previous prime is 2151122551. The next prime is 2151122593. The reversal of 2151122560 is 652211512.

It can be written as a sum of positive squares in 4 ways, for example, as 1043031616 + 1108090944 = 32296^2 + 33288^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39391 + ... + 76510.

Almost surely, 22151122560 is an apocalyptic number.

2151122560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151122560 is an abundant number, since it is smaller than the sum of its proper divisors (3168779240).

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

2151122560 is a wasteful number, since it uses less digits than its factorization.

2151122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115949 (or 115937 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 2151122560 is about 46380.1957736273. The cubic root of 2151122560 is about 1290.8874689591.

The spelling of 2151122560 in words is "two billion, one hundred fifty-one million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 115901 231802 463604 579505 927208 1159010 1854416 2318020 3361129 3708832 4636040 6722258 7417664 9272080 13444516 14835328 16805645 18544160 26889032 33611290 37088320 53778064 67222580 74176640 107556128 134445160 215112256 268890320 430224512 537780640 1075561280 2151122560