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2140933872 = 243721183997
BaseRepresentation
bin111111110011100…
…0000111011110000
312112012112201011010
41333213000323300
513341034340442
6552235350520
7104024431500
oct17747007360
95465481133
102140933872
119a9557340
124b8bb2440
1328172079c
141644a3a00
15c7e50b9c
hex7f9c0ef0

2140933872 has 240 divisors, whose sum is σ = 7110294912. Its totient is φ = 548835840.

The previous prime is 2140933871. The next prime is 2140933877. The reversal of 2140933872 is 2783390412.

It is a self number, because there is not a number n which added to its sum of digits gives 2140933872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140933871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2146878 + ... + 2147874.

Almost surely, 22140933872 is an apocalyptic number.

2140933872 is a gapful number since it is divisible by the number (22) 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 2140933872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555147456).

2140933872 is an abundant number, since it is smaller than the sum of its proper divisors (4969361040).

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

2140933872 is a wasteful number, since it uses less digits than its factorization.

2140933872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2140933872 is about 46270.2266257688. The cubic root of 2140933872 is about 1288.8461673557.

The spelling of 2140933872 in words is "two billion, one hundred forty million, nine hundred thirty-three thousand, eight hundred seventy-two".