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2136330240 = 212351129109
BaseRepresentation
bin111111101010101…
…1101000000000000
312111212212211011020
41333111131000000
513333400031430
6551552545440
7103640336022
oct17725350000
95455784136
102136330240
119a69a2590
124b7552280
1328079b245
14163a26012
15c7841b10
hex7f55d000

2136330240 has 416 divisors, whose sum is σ = 7784726400. Its totient is φ = 495452160.

The previous prime is 2136330239. The next prime is 2136330253. The reversal of 2136330240 is 420336312.

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 2136330240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19599306 + ... + 19599414.

Almost surely, 22136330240 is an apocalyptic number.

2136330240 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 2136330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892363200).

2136330240 is an abundant number, since it is smaller than the sum of its proper divisors (5648396160).

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

2136330240 is a wasteful number, since it uses less digits than its factorization.

2136330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2136330240 is about 46220.4526156982. The cubic root of 2136330240 is about 1287.9217060802.

Adding to 2136330240 its reverse (420336312), we get a palindrome (2556666552).

The spelling of 2136330240 in words is "two billion, one hundred thirty-six million, three hundred thirty thousand, two hundred forty".