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2096090640 = 2432572195359
BaseRepresentation
bin111110011101111…
…1100111000010000
312102002011102210200
41330323330320100
513243044400030
6543554255200
7102641322300
oct17473747020
95362142720
102096090640
11986208a16
124a5b87500
1327534c627
1415c54d600
15c4043d60
hex7cefce10

2096090640 has 720 divisors, whose sum is σ = 8931124800. Its totient is φ = 437778432.

The previous prime is 2096090639. The next prime is 2096090641. The reversal of 2096090640 is 460906902.

2096090640 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 0 + 9 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2096090639) and next prime (2096090641).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2096090595 and 2096090604.

It is not an unprimeable number, because it can be changed into a prime (2096090641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35526931 + ... + 35526989.

It is an arithmetic number, because the mean of its divisors is an integer number (12404340).

Almost surely, 22096090640 is an apocalyptic number.

2096090640 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 2096090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465562400).

2096090640 is an abundant number, since it is smaller than the sum of its proper divisors (6835034160).

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

2096090640 is a wasteful number, since it uses less digits than its factorization.

2096090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2096090640 is about 45783.0824650329. The cubic root of 2096090640 is about 1279.7840293172.

The spelling of 2096090640 in words is "two billion, ninety-six million, ninety thousand, six hundred forty".