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2130744096 = 2533131711159
BaseRepresentation
bin111111100000000…
…1001001100100000
312111111101000102000
41333000021030200
513330432302341
6551233124000
7103542011625
oct17700111440
95444330360
102130744096
119a3827638
124b56b9600
1327c593730
14162db034c
15c70db8b6
hex7f009320

2130744096 has 192 divisors, whose sum is σ = 7087046400. Its totient is φ = 616992768.

The previous prime is 2130744089. The next prime is 2130744097. The reversal of 2130744096 is 6904470312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2130744096.

It is not an unprimeable number, because it can be changed into a prime (2130744097) 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, 185365 + ... + 196523.

It is an arithmetic number, because the mean of its divisors is an integer number (36911700).

Almost surely, 22130744096 is an apocalyptic number.

2130744096 is a gapful number since it is divisible by the number (26) 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 2130744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543523200).

2130744096 is an abundant number, since it is smaller than the sum of its proper divisors (4956302304).

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

2130744096 is a wasteful number, since it uses less digits than its factorization.

2130744096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11208 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2130744096 is about 46159.9837088359. The cubic root of 2130744096 is about 1286.7981600544.

The spelling of 2130744096 in words is "two billion, one hundred thirty million, seven hundred forty-four thousand, ninety-six".