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2130236160 = 283513139307
BaseRepresentation
bin111111011111000…
…1101001100000000
312111110102012122120
41332332031030000
513330320024120
6551214204240
7103534465023
oct17676151400
95443365576
102130236160
119a350aa58
124b54b3680
1327c446490
14162cbb1ba
15c703b140
hex7ef8d300

2130236160 has 288 divisors, whose sum is σ = 7403531520. Its totient is φ = 518897664.

The previous prime is 2130236137. The next prime is 2130236161. The reversal of 2130236160 is 616320312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2130236160.

It is not an unprimeable number, because it can be changed into a prime (2130236161) 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, 6938727 + ... + 6939033.

Almost surely, 22130236160 is an apocalyptic number.

2130236160 is a gapful number since it is divisible by the number (20) 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 2130236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701765760).

2130236160 is an abundant number, since it is smaller than the sum of its proper divisors (5273295360).

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

2130236160 is a wasteful number, since it uses less digits than its factorization.

2130236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2130236160 is about 46154.4814725504. The cubic root of 2130236160 is about 1286.6959010900.

Adding to 2130236160 its reverse (616320312), we get a palindrome (2746556472).

The spelling of 2130236160 in words is "two billion, one hundred thirty million, two hundred thirty-six thousand, one hundred sixty".