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540650142 = 232371674861
BaseRepresentation
bin100000001110011…
…010101010011110
31101200022212120100
4200032122222132
52101401301032
6125352001530
716253310324
oct4016325236
91350285510
10540650142
112582014aa
121310902a6
1388018836
1451b37d14
15326e797c
hex2039aa9e

540650142 has 48 divisors (see below), whose sum is σ = 1210521312. Its totient is φ = 174260160.

The previous prime is 540650141. The next prime is 540650177. The reversal of 540650142 is 241056045.

540650142 is a `hidden beast` number, since 5 + 4 + 0 + 650 + 1 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540650141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108792 + ... + 113652.

It is an arithmetic number, because the mean of its divisors is an integer number (25219194).

Almost surely, 2540650142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540650142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605260656).

540650142 is an abundant number, since it is smaller than the sum of its proper divisors (669871170).

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

540650142 is a wasteful number, since it uses less digits than its factorization.

540650142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 540650142 is about 23251.8846978046. The cubic root of 540650142 is about 814.6519607443.

The spelling of 540650142 in words is "five hundred forty million, six hundred fifty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 167 222 333 334 501 666 1002 1503 3006 4861 6179 9722 12358 14583 18537 29166 37074 43749 55611 87498 111222 179857 359714 539571 811787 1079142 1618713 1623574 2435361 3237426 4870722 7306083 14612166 30036119 60072238 90108357 180216714 270325071 540650142