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2132159040 = 26325111737107
BaseRepresentation
bin111111100010110…
…0010101001000000
312111121000220100100
41333011202221000
513331313042130
6551323322400
7103560024054
oct17705425100
95447026310
102132159040
119a4603710
124b6080400
1327c96a78b
1416325bc64
15c72bac60
hex7f162a40

2132159040 has 672 divisors, whose sum is σ = 8781312384. Its totient is φ = 468910080.

The previous prime is 2132159021. The next prime is 2132159059. The reversal of 2132159040 is 409512312.

2132159040 is a `hidden beast` number, since 2 + 1 + 32 + 1 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2132159021) and next prime (2132159059).

It is a super-2 number, since 2×21321590402 = 9092204343707443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2132158995 and 2132159013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19926667 + ... + 19926773.

Almost surely, 22132159040 is an apocalyptic number.

2132159040 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 2132159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390656192).

2132159040 is an abundant number, since it is smaller than the sum of its proper divisors (6649153344).

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

2132159040 is a wasteful number, since it uses less digits than its factorization.

2132159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2132159040 is about 46175.3076871178. The cubic root of 2132159040 is about 1287.0829345077.

The spelling of 2132159040 in words is "two billion, one hundred thirty-two million, one hundred fifty-nine thousand, forty".