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1330196544 = 26325343573
BaseRepresentation
bin100111101001001…
…0011000001000000
310102200222222121200
41033102103001000
510211012242134
6335554421200
744651325015
oct11722230100
93380888550
101330196544
11622952396
12311591800
1318277b561
14c894170c
157bba7499
hex4f493040

1330196544 has 84 divisors (see below), whose sum is σ = 3884796396. Its totient is φ = 435022848.

The previous prime is 1330196489. The next prime is 1330196551. The reversal of 1330196544 is 4456910331.

It can be written as a sum of positive squares in 2 ways, for example, as 356756544 + 973440000 = 18888^2 + 31200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1330196499 and 1330196508.

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, 8742 + ... + 52314.

Almost surely, 21330196544 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 1330196544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942398198).

1330196544 is an abundant number, since it is smaller than the sum of its proper divisors (2554599852).

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

1330196544 is a wasteful number, since it uses less digits than its factorization.

1330196544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43644 (or 43631 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1330196544 is about 36471.8596180672. The cubic root of 1330196544 is about 1099.7786177073.

The spelling of 1330196544 in words is "one billion, three hundred thirty million, one hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 43573 87146 130719 174292 261438 348584 392157 522876 697168 784314 1045752 1394336 1568628 2091504 2309369 2788672 3137256 4183008 4618738 6274512 6928107 8366016 9237476 12549024 13856214 18474952 20784321 25098048 27712428 36949904 41568642 55424856 73899808 83137284 110849712 147799616 166274568 221699424 332549136 443398848 665098272 1330196544