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540627620 = 225132592711
BaseRepresentation
bin100000001110010…
…101001010100100
31101200021201200012
4200032111022210
52101400040440
6125351305352
716253154551
oct4016251244
91350251605
10540627620
11258196595
1213107b258
138800b500
1451b2da28
15326e0e65
hex203952a4

540627620 has 72 divisors (see below), whose sum is σ = 1250665920. Its totient is φ = 196160640.

The previous prime is 540627611. The next prime is 540627629. The reversal of 540627620 is 26726045.

It is an interprime number because it is at equal distance from previous prime (540627611) and next prime (540627629).

It is not an unprimeable number, because it can be changed into a prime (540627629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198065 + ... + 200775.

It is an arithmetic number, because the mean of its divisors is an integer number (17370360).

Almost surely, 2540627620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540627620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625332960).

540627620 is an abundant number, since it is smaller than the sum of its proper divisors (710038300).

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

540627620 is a wasteful number, since it uses less digits than its factorization.

540627620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 540627620 is about 23251.4003879336. The cubic root of 540627620 is about 814.6406485328.

The spelling of 540627620 in words is "five hundred forty million, six hundred twenty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 169 236 260 295 338 590 676 767 845 1180 1534 1690 2711 3068 3380 3835 5422 7670 9971 10844 13555 15340 19942 27110 35243 39884 49855 54220 70486 99710 140972 159949 176215 199420 319898 352430 458159 639796 704860 799745 916318 1599490 1832636 2079337 2290795 3198980 4158674 4581590 8317348 9163180 10396685 20793370 27031381 41586740 54062762 108125524 135156905 270313810 540627620