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1600130304 = 28321740853
BaseRepresentation
bin101111101100000…
…0000110100000000
311010111221001010100
41133120000310000
511234113132204
6422440202400
754436611633
oct13730006400
94114831110
101600130304
11751260643
12387a69400
131c6680186
14112729c1a
1595727a39
hex5f600d00

1600130304 has 108 divisors (see below), whose sum is σ = 4885076196. Its totient is φ = 501989376.

The previous prime is 1600130299. The next prime is 1600130359. The reversal of 1600130304 is 4030310061.

1600130304 is a `hidden beast` number, since 1 + 600 + 1 + 30 + 30 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1478248704 + 121881600 = 38448^2 + 11040^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18742 + ... + 59594.

It is an arithmetic number, because the mean of its divisors is an integer number (45232187).

Almost surely, 21600130304 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 1600130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442538098).

1600130304 is an abundant number, since it is smaller than the sum of its proper divisors (3284945892).

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

1600130304 is a wasteful number, since it uses less digits than its factorization.

1600130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40892 (or 40875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1600130304 is about 40001.6287668390. The cubic root of 1600130304 is about 1169.6388453572.

Adding to 1600130304 its reverse (4030310061), we get a palindrome (5630440365).

The spelling of 1600130304 in words is "one billion, six hundred million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 19584 39168 40853 81706 122559 163412 245118 326824 367677 490236 653648 694501 735354 980472 1307296 1389002 1470708 1960944 2083503 2614592 2778004 2941416 3921888 4167006 5229184 5556008 5882832 6250509 7843776 8334012 10458368 11112016 11765664 12501018 15687552 16668024 22224032 23531328 25002036 31375104 33336048 44448064 47062656 50004072 66672096 88896128 94125312 100008144 133344192 177792256 200016288 266688384 400032576 533376768 800065152 1600130304