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2157875280 = 24325112173147
BaseRepresentation
bin1000000010011110…
…1001000001010000
312120101102102101200
42000213221001100
513404404002110
6554042431200
7104321431401
oct20047510120
95511372350
102157875280
11a08078700
12502802500
132850a29a2
141668339a8
15c969a6c0
hex809e9050

2157875280 has 720 divisors, whose sum is σ = 8891430912. Its totient is φ = 466329600.

The previous prime is 2157875273. The next prime is 2157875281. The reversal of 2157875280 is 825787512.

2157875280 is a `hidden beast` number, since 2 + 1 + 578 + 75 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157875281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45912217 + ... + 45912263.

Almost surely, 22157875280 is an apocalyptic number.

2157875280 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 2157875280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445715456).

2157875280 is an abundant number, since it is smaller than the sum of its proper divisors (6733555632).

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

2157875280 is a wasteful number, since it uses less digits than its factorization.

2157875280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 2157875280 is about 46452.9361827646. The cubic root of 2157875280 is about 1292.2368258497.

The spelling of 2157875280 in words is "two billion, one hundred fifty-seven million, eight hundred seventy-five thousand, two hundred eighty".