Search a number
-
+
2881244160 = 210325312017
BaseRepresentation
bin1010101110111100…
…0100110000000000
321102210120100221200
42223233010300000
521400044303120
61153523021200
7131254112514
oct25357046000
97383510850
102881244160
111249429423
12684b0a800
1336bc04a02
141d4932144
1511ce36e90
hexabbc4c00

2881244160 has 264 divisors, whose sum is σ = 10310591616. Its totient is φ = 743178240.

The previous prime is 2881244147. The next prime is 2881244161. The reversal of 2881244160 is 614421882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2881244161) 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 23 ways as a sum of consecutive naturals, for example, 1427472 + ... + 1429488.

Almost surely, 22881244160 is an apocalyptic number.

2881244160 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 2881244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155295808).

2881244160 is an abundant number, since it is smaller than the sum of its proper divisors (7429347456).

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

2881244160 is a wasteful number, since it uses less digits than its factorization.

2881244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2881244160 is about 53677.2219847488. The cubic root of 2881244160 is about 1422.9621693551.

The spelling of 2881244160 in words is "two billion, eight hundred eighty-one million, two hundred forty-four thousand, one hundred sixty".