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2140644800 = 265271311459
BaseRepresentation
bin111111110010111…
…1010010111000000
312112012000000121202
41333211322113000
513341001113200
6552225240332
7104022115640
oct17745722700
95465000552
102140644800
119a937a138
124b8a930a8
1328164c038
1416442a520
15c7de51d5
hex7f97a5c0

2140644800 has 168 divisors, whose sum is σ = 6069909120. Its totient is φ = 727833600.

The previous prime is 2140644797. The next prime is 2140644851. The reversal of 2140644800 is 84460412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1466471 + ... + 1467929.

Almost surely, 22140644800 is an apocalyptic number.

2140644800 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 2140644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034954560).

2140644800 is an abundant number, since it is smaller than the sum of its proper divisors (3929264320).

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

2140644800 is a wasteful number, since it uses less digits than its factorization.

2140644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2140644800 is about 46267.1027837274. The cubic root of 2140644800 is about 1288.7881574511.

The spelling of 2140644800 in words is "two billion, one hundred forty million, six hundred forty-four thousand, eight hundred".