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2153042860 = 2251725125229
BaseRepresentation
bin1000000001010100…
…1101001110101100
312120001022220120011
42000111031032230
513402134332420
6553351103004
7104232363613
oct20025151654
95501286504
102153042860
11a05377a71
12501071a64
132840a0277
14165d3687a
15c904395a
hex8054d3ac

2153042860 has 48 divisors (see below), whose sum is σ = 4806617760. Its totient is φ = 807296000.

The previous prime is 2153042851. The next prime is 2153042861. The reversal of 2153042860 is 682403512.

It is not an unprimeable number, because it can be changed into a prime (2153042861) 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 15 ways as a sum of consecutive naturals, for example, 72726 + ... + 97954.

It is an arithmetic number, because the mean of its divisors is an integer number (100137870).

Almost surely, 22153042860 is an apocalyptic number.

2153042860 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 2153042860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403308880).

2153042860 is an abundant number, since it is smaller than the sum of its proper divisors (2653574900).

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

2153042860 is a wasteful number, since it uses less digits than its factorization.

2153042860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25506 (or 25504 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2153042860 is about 46400.8928793402. The cubic root of 2153042860 is about 1291.2714783729.

The spelling of 2153042860 in words is "two billion, one hundred fifty-three million, forty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 340 502 1004 1255 2510 4267 5020 8534 17068 21335 25229 42670 50458 85340 100916 126145 252290 428893 504580 857786 1715572 2144465 4288930 6332479 8577860 12664958 25329916 31662395 63324790 107652143 126649580 215304286 430608572 538260715 1076521430 2153042860