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536903136 = 253271123171
BaseRepresentation
bin100000000000000…
…111110111100000
31101102021111122100
4200000013313200
52044421400021
6125135410400
716206413160
oct4000076740
91342244570
10536903136
11256082300
1212b983a00
1387306183
14514405a0
1532207626
hex20007de0

536903136 has 432 divisors, whose sum is σ = 2007742464. Its totient is φ = 133056000.

The previous prime is 536903131. The next prime is 536903141. The reversal of 536903136 is 631309635.

536903136 is a `hidden beast` number, since 536 + 90 + 3 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (536903131) and next prime (536903141).

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 536903136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536903131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7561981 + ... + 7562051.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2536903136 is an apocalyptic number.

536903136 is a gapful number since it is divisible by the number (56) 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 536903136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

536903136 is an abundant number, since it is smaller than the sum of its proper divisors (1470839328).

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

536903136 is a wasteful number, since it uses less digits than its factorization.

536903136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 536903136 is about 23171.1703631905. The cubic root of 536903136 is about 812.7655991961.

The spelling of 536903136 in words is "five hundred thirty-six million, nine hundred three thousand, one hundred thirty-six".