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530405136 = 243210136469
BaseRepresentation
bin11111100111010…
…101011100010000
31100222001101001200
4133213111130100
52041240431021
6124344231200
716100240442
oct3747253420
91328041050
10530405136
11252444258
1212976b500
1385b6c5c1
145062c492
1531872126
hex1f9d5710

530405136 has 60 divisors (see below), whose sum is σ = 1499135820. Its totient is φ = 175046400.

The previous prime is 530405119. The next prime is 530405143. The reversal of 530405136 is 631504035.

It can be written as a sum of positive squares in 2 ways, for example, as 374654736 + 155750400 = 19356^2 + 12480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3691 + ... + 32778.

It is an arithmetic number, because the mean of its divisors is an integer number (24985597).

Almost surely, 2530405136 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 530405136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749567910).

530405136 is an abundant number, since it is smaller than the sum of its proper divisors (968730684).

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

530405136 is a wasteful number, since it uses less digits than its factorization.

530405136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36584 (or 36575 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 530405136 is about 23030.5261772283. The cubic root of 530405136 is about 809.4733842648.

The spelling of 530405136 in words is "five hundred thirty million, four hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 36469 72938 109407 145876 218814 291752 328221 437628 583504 656442 875256 1312884 1750512 2625768 3683369 5251536 7366738 11050107 14733476 22100214 29466952 33150321 44200428 58933904 66300642 88400856 132601284 176801712 265202568 530405136