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540005634 = 232716326293
BaseRepresentation
bin100000001011111…
…101010100000010
31101122010010110200
4200023331110002
52101220140014
6125330110030
716244654310
oct4013752402
91348103420
10540005634
11257901253
12130a1b316
1387b5137c
1451a0b0b0
153261ba09
hex202fd502

540005634 has 48 divisors (see below), whose sum is σ = 1345411392. Its totient is φ = 153334944.

The previous prime is 540005621. The next prime is 540005659. The reversal of 540005634 is 436500045.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540005598 and 540005607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7392 + ... + 33684.

It is an arithmetic number, because the mean of its divisors is an integer number (28029404).

Almost surely, 2540005634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540005634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672705696).

540005634 is an abundant number, since it is smaller than the sum of its proper divisors (805405758).

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

540005634 is a wasteful number, since it uses less digits than its factorization.

540005634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26471 (or 26468 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 540005634 is about 23238.0213013070. The cubic root of 540005634 is about 814.3281170110.

Adding to 540005634 its reverse (436500045), we get a palindrome (976505679).

The spelling of 540005634 in words is "five hundred forty million, five thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 978 1141 1467 2282 2934 3423 6846 10269 20538 26293 52586 78879 157758 184051 236637 368102 473274 552153 1104306 1656459 3312918 4285759 8571518 12857277 25714554 30000313 38571831 60000626 77143662 90000939 180001878 270002817 540005634