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2090366960 = 2451122341229
BaseRepresentation
bin111110010011000…
…0111011111110000
312101200101122101112
41330212013133300
513240113220320
6543231452452
7102541553213
oct17446073760
95350348345
102090366960
11982a59700
124a4087128
132740c7336
1415b89d77a
15c37b2ec5
hex7c9877f0

2090366960 has 240 divisors, whose sum is σ = 5735257920. Its totient is φ = 706252800.

The previous prime is 2090366953. The next prime is 2090366963. The reversal of 2090366960 is 696630902.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090366963) 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, 9128126 + ... + 9128354.

It is an arithmetic number, because the mean of its divisors is an integer number (23896908).

Almost surely, 22090366960 is an apocalyptic number.

2090366960 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 2090366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867628960).

2090366960 is an abundant number, since it is smaller than the sum of its proper divisors (3644890960).

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

2090366960 is a wasteful number, since it uses less digits than its factorization.

2090366960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 2090366960 is about 45720.5310555335. The cubic root of 2090366960 is about 1278.6180886784.

The spelling of 2090366960 in words is "two billion, ninety million, three hundred sixty-six thousand, nine hundred sixty".