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2115275312 = 242913932797
BaseRepresentation
bin111111000010100…
…1000101000110000
312110102021010020002
41332011020220300
513313002302222
6545521405132
7103263354263
oct17605105060
95412233202
102115275312
11996021717
124b04997a8
132793088c7
14160d04cda
15c5a83392
hex7e148a30

2115275312 has 40 divisors (see below), whose sum is σ = 4270299600. Its totient is φ = 1013789952.

The previous prime is 2115275299. The next prime is 2115275317. The reversal of 2115275312 is 2135725112.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (2115275317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48098 + ... + 80894.

It is an arithmetic number, because the mean of its divisors is an integer number (106757490).

Almost surely, 22115275312 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 2115275312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135149800).

2115275312 is an abundant number, since it is smaller than the sum of its proper divisors (2155024288).

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

2115275312 is a wasteful number, since it uses less digits than its factorization.

2115275312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32973 (or 32967 counting only the distinct ones).

The product of its digits is 4200, while the sum is 29.

The square root of 2115275312 is about 45992.1222819735. The cubic root of 2115275312 is about 1283.6766265428.

The spelling of 2115275312 in words is "two billion, one hundred fifteen million, two hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 139 232 278 464 556 1112 2224 4031 8062 16124 32248 32797 64496 65594 131188 262376 524752 951113 1902226 3804452 4558783 7608904 9117566 15217808 18235132 36470264 72940528 132204707 264409414 528818828 1057637656 2115275312