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2090987136 = 2734747613
BaseRepresentation
bin111110010100001…
…1110111010000000
312101201120011010000
41330220132322000
513240243042021
6543253040000
7102550045260
oct17450367200
95351504100
102090987136
11983342647
124a4326000
132742836c4
1415b9c17a0
15c3886b26
hex7ca1ee80

2090987136 has 320 divisors, whose sum is σ = 7274868480. Its totient is φ = 583759872.

The previous prime is 2090987077. The next prime is 2090987137. The reversal of 2090987136 is 6317890902.

It is a junction number, because it is equal to n+sod(n) for n = 2090987091 and 2090987100.

It is not an unprimeable number, because it can be changed into a prime (2090987137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3410766 + ... + 3411378.

It is an arithmetic number, because the mean of its divisors is an integer number (22733964).

Almost surely, 22090987136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637434240).

2090987136 is an abundant number, since it is smaller than the sum of its proper divisors (5183881344).

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

2090987136 is an equidigital number, since it uses as much as digits as its factorization.

2090987136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2090987136 is about 45727.3128009945. The cubic root of 2090987136 is about 1278.7445241894.

The spelling of 2090987136 in words is "two billion, ninety million, nine hundred eighty-seven thousand, one hundred thirty-six".