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1534816530 = 2325138811489
BaseRepresentation
bin101101101111011…
…0111000100010010
310221222000202110200
41123132313010102
511120403112110
6412144240030
753014503522
oct13336670422
93858022420
101534816530
11718400415
1236a010016
131b5c92680
14107ba7682
158eb256c0
hex5b7b7112

1534816530 has 96 divisors (see below), whose sum is σ = 4305253680. Its totient is φ = 377118720.

The previous prime is 1534816513. The next prime is 1534816553. The reversal of 1534816530 is 356184351.

1534816530 is a `hidden beast` number, since 15 + 34 + 81 + 6 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 54952569 + 1479863961 = 7413^2 + 38469^2 .

It is a super-2 number, since 2×15348165302 = 4711323561522481800, which contains 22 as substring.

It is an unprimeable number.

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, 1030026 + ... + 1031514.

Almost surely, 21534816530 is an apocalyptic number.

1534816530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1534816530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152626840).

1534816530 is an abundant number, since it is smaller than the sum of its proper divisors (2770437150).

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

1534816530 is a wasteful number, since it uses less digits than its factorization.

1534816530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1534816530 is about 39176.7345499851. The cubic root of 1534816530 is about 1153.5032504025.

It can be divided in two parts, 15348 and 16530, that added together give a triangular number (31878 = T252).

The spelling of 1534816530 in words is "one billion, five hundred thirty-four million, eight hundred sixteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 881 1170 1489 1762 2643 2978 4405 4467 5286 7445 7929 8810 8934 11453 13215 13401 14890 15858 19357 22335 22906 26430 26802 34359 38714 39645 44670 57265 58071 67005 68718 79290 96785 103077 114530 116142 134010 171795 174213 193570 206154 290355 343590 348426 515385 580710 871065 1030770 1311809 1742130 2623618 3935427 6559045 7870854 11806281 13118090 17053517 19677135 23612562 34107034 39354270 51160551 59031405 85267585 102321102 118062810 153481653 170535170 255802755 306963306 511605510 767408265 1534816530