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540153523 = 71352111393
BaseRepresentation
bin100000001100100…
…001011010110011
31101122101122100001
4200030201122303
52101234403043
6125333210431
716246141420
oct4014413263
91348348301
10540153523
112579a2378
12130a90a17
1387ba3790
1451a48d47
153264a74d
hex203216b3

540153523 has 16 divisors (see below), whose sum is σ = 666138816. Its totient is φ = 426516480.

The previous prime is 540153511. The next prime is 540153547. The reversal of 540153523 is 325351045.

It is not a de Polignac number, because 540153523 - 29 = 540153011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540153491 and 540153500.

It is not an unprimeable number, because it can be changed into a prime (540153503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41715 + ... + 53107.

It is an arithmetic number, because the mean of its divisors is an integer number (41633676).

Almost surely, 2540153523 is an apocalyptic number.

540153523 is a deficient number, since it is larger than the sum of its proper divisors (125985293).

540153523 is a wasteful number, since it uses less digits than its factorization.

540153523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11934.

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 540153523 is about 23241.2031315076. The cubic root of 540153523 is about 814.4024490618.

The spelling of 540153523 in words is "five hundred forty million, one hundred fifty-three thousand, five hundred twenty-three".

Divisors: 1 7 13 91 521 3647 6773 11393 47411 79751 148109 1036763 5935753 41550271 77164789 540153523