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2890696320 = 273251753557
BaseRepresentation
bin1010110001001100…
…1000011010000000
321110110100120212200
42230103020122000
521410004240240
61154501353200
7131430341031
oct25423103200
97413316780
102890696320
1112537a4a26
12688108800
13370b640c5
141d5cb2a88
1511dba2930
hexac4c8680

2890696320 has 384 divisors, whose sum is σ = 10787858640. Its totient is φ = 710541312.

The previous prime is 2890696313. The next prime is 2890696387. The reversal of 2890696320 is 236960982.

2890696320 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 6 + 9 + 632 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1297728576 + 1592967744 = 36024^2 + 39912^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28906963202 = 16712250428923084800, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5189482 + ... + 5190038.

Almost surely, 22890696320 is an apocalyptic number.

2890696320 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 2890696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393929320).

2890696320 is an abundant number, since it is smaller than the sum of its proper divisors (7897162320).

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

2890696320 is a wasteful number, since it uses less digits than its factorization.

2890696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2890696320 is about 53765.1961774529. The cubic root of 2890696320 is about 1424.5165192681.

The spelling of 2890696320 in words is "two billion, eight hundred ninety million, six hundred ninety-six thousand, three hundred twenty".