Search a number
-
+
1990344960 = 2839579
BaseRepresentation
bin111011010100010…
…0100000100000000
312010201012000000000
41312220210010000
513034012014320
6525300000000
7100215436662
oct16650440400
95121160000
101990344960
1193155269a
12476690000
13259476816
1414c4a4532
15b9b06c90
hex76a24100

1990344960 has 360 divisors, whose sum is σ = 7241646720. Its totient is φ = 524040192.

The previous prime is 1990344931. The next prime is 1990344973. The reversal of 1990344960 is 694430991.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×19903449602 = 7922946119594803200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25194201 + ... + 25194279.

Almost surely, 21990344960 is an apocalyptic number.

1990344960 is a gapful number since it is divisible by the number (10) 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 1990344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620823360).

1990344960 is an abundant number, since it is smaller than the sum of its proper divisors (5251301760).

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

1990344960 is an frugal number, since it uses more digits than its factorization.

1990344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1990344960 is about 44613.2823271276. The cubic root of 1990344960 is about 1257.8903472727.

The spelling of 1990344960 in words is "one billion, nine hundred ninety million, three hundred forty-four thousand, nine hundred sixty".