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890113536 = 2934132127
BaseRepresentation
bin110101000011100…
…000111000000000
32022000220110020000
4311003200320000
53310332113121
6224154120000
731025561124
oct6503407000
92260813200
10890113536
1141749a524
1220a120000
13112544700
1486305584
1553227526
hex350e0e00

890113536 has 300 divisors, whose sum is σ = 2899492992. Its totient is φ = 271724544.

The previous prime is 890113531. The next prime is 890113579. The reversal of 890113536 is 635311098.

It is a happy number.

890113536 is a `hidden beast` number, since 8 + 9 + 0 + 113 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 890113536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890113531) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7008705 + ... + 7008831.

Almost surely, 2890113536 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 890113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449746496).

890113536 is an abundant number, since it is smaller than the sum of its proper divisors (2009379456).

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

890113536 is a wasteful number, since it uses less digits than its factorization.

890113536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 890113536 is about 29834.7705873533. The cubic root of 890113536 is about 961.9410726018.

The spelling of 890113536 in words is "eight hundred ninety million, one hundred thirteen thousand, five hundred thirty-six".