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540606150 = 23452719069
BaseRepresentation
bin100000001110001…
…111111011000110
31101200020122020000
4200032033323012
52101343344100
6125351022130
716253035140
oct4016177306
91350218200
10540606150
11258181447
1213106a946
13880017c6
1451b25c90
15326d9900
hex2038fec6

540606150 has 120 divisors (see below), whose sum is σ = 1716757680. Its totient is φ = 123560640.

The previous prime is 540606133. The next prime is 540606151. The reversal of 540606150 is 51606045.

It is a happy number.

540606150 is a `hidden beast` number, since 5 + 4 + 0 + 606 + 1 + 50 = 666.

540606150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540606151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18816 + ... + 37884.

It is an arithmetic number, because the mean of its divisors is an integer number (14306314).

Almost surely, 2540606150 is an apocalyptic number.

540606150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540606150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858378840).

540606150 is an abundant number, since it is smaller than the sum of its proper divisors (1176151530).

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

540606150 is a wasteful number, since it uses less digits than its factorization.

540606150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19100 (or 19086 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 540606150 is about 23250.9386907282. The cubic root of 540606150 is about 814.6298644209.

The spelling of 540606150 in words is "five hundred forty million, six hundred six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 270 315 350 378 405 450 525 567 630 675 810 945 1050 1134 1350 1575 1890 2025 2835 3150 4050 4725 5670 9450 14175 19069 28350 38138 57207 95345 114414 133483 171621 190690 266966 286035 343242 400449 476725 514863 572070 667415 800898 858105 953450 1029726 1201347 1334830 1430175 1544589 1716210 2002245 2402694 2574315 2860350 3089178 3337075 3604041 4004490 4290525 5148630 6006735 6674150 7208082 7722945 8581050 10011225 10812123 12013470 12871575 15445890 18020205 20022450 21624246 25743150 30033675 36040410 38614725 54060615 60067350 77229450 90101025 108121230 180202050 270303075 540606150