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9936090240 = 273531971721
BaseRepresentation
bin10010100000011110…
…01011010010000000
3221122110111200102020
421100033023102000
5130322114341430
64321540521440
7501140242056
oct112017132200
927573450366
109936090240
11423973372a
121b136b0280
13c246a1a4b
146a38881d6
153d2486b10
hex2503cb480

9936090240 has 256 divisors, whose sum is σ = 33049175040. Its totient is φ = 2536243200.

The previous prime is 9936090233. The next prime is 9936090247. The reversal of 9936090240 is 420906399.

It is an interprime number because it is at equal distance from previous prime (9936090233) and next prime (9936090247).

It is a junction number, because it is equal to n+sod(n) for n = 9936090192 and 9936090201.

It is not an unprimeable number, because it can be changed into a prime (9936090247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5772580 + ... + 5774300.

It is an arithmetic number, because the mean of its divisors is an integer number (129098340).

Almost surely, 29936090240 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 9936090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524587520).

9936090240 is an abundant number, since it is smaller than the sum of its proper divisors (23113084800).

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

9936090240 is a wasteful number, since it uses less digits than its factorization.

9936090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 9936090240 is about 99679.9390047967. The cubic root of 9936090240 is about 2149.8352309280.

The spelling of 9936090240 in words is "nine billion, nine hundred thirty-six million, ninety thousand, two hundred forty".