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540653550 = 2352171911159
BaseRepresentation
bin100000001110011…
…011011111101110
31101200100001020120
4200032123133232
52101401403200
6125352025410
716253323263
oct4016333756
91350301216
10540653550
11258204018
12131092266
138801a258
1451b3926a
15326e89a0
hex2039b7ee

540653550 has 96 divisors (see below), whose sum is σ = 1494547200. Its totient is φ = 128540160.

The previous prime is 540653539. The next prime is 540653557. The reversal of 540653550 is 55356045.

It is a super-2 number, since 2×5406535502 = 584612522255205000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540653557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42871 + ... + 54029.

It is an arithmetic number, because the mean of its divisors is an integer number (15568200).

Almost surely, 2540653550 is an apocalyptic number.

540653550 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 540653550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747273600).

540653550 is an abundant number, since it is smaller than the sum of its proper divisors (953893650).

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

540653550 is a wasteful number, since it uses less digits than its factorization.

540653550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 540653550 is about 23251.9579820711. The cubic root of 540653550 is about 814.6536724662.

The spelling of 540653550 in words is "five hundred forty million, six hundred fifty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 150 170 190 255 285 323 425 475 510 570 646 850 950 969 1275 1425 1615 1938 2550 2850 3230 4845 8075 9690 11159 16150 22318 24225 33477 48450 55795 66954 111590 167385 189703 212021 278975 334770 379406 424042 557950 569109 636063 836925 948515 1060105 1138218 1272126 1673850 1897030 2120210 2845545 3180315 3604357 4742575 5300525 5691090 6360630 7208714 9485150 10601050 10813071 14227725 15901575 18021785 21626142 28455450 31803150 36043570 54065355 90108925 108130710 180217850 270326775 540653550