Search a number
-
+
1534140300 = 2235271166413
BaseRepresentation
bin101101101110001…
…0001111110001100
310221220202101212010
41123130101332030
511120214442200
6412121541220
753005656150
oct13334217614
93856671763
101534140300
11717a89350
12369944810
131b5ab6934
14107a6d060
158ea40150
hex5b711f8c

1534140300 has 144 divisors (see below), whose sum is σ = 5534145792. Its totient is φ = 318777600.

The previous prime is 1534140271. The next prime is 1534140371. The reversal of 1534140300 is 30414351.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 10107 + ... + 56306.

It is an arithmetic number, because the mean of its divisors is an integer number (38431568).

Almost surely, 21534140300 is an apocalyptic number.

1534140300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1534140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767072896).

1534140300 is an abundant number, since it is smaller than the sum of its proper divisors (4000005492).

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

1534140300 is a wasteful number, since it uses less digits than its factorization.

1534140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66448 (or 66441 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1534140300 is about 39168.1030942271. The cubic root of 1534140300 is about 1153.3338168849. Note that the first 3 decimals are identical.

Adding to 1534140300 its reverse (30414351), we get a palindrome (1564554651).

The spelling of 1534140300 in words is "one billion, five hundred thirty-four million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 66413 132826 199239 265652 332065 398478 464891 664130 730543 796956 929782 996195 1328260 1394673 1461086 1660325 1859564 1992390 2191629 2324455 2789346 2922172 3320650 3652715 3984780 4383258 4648910 4980975 5113801 5578692 6641300 6973365 7305430 8766516 9297820 9961950 10227602 10958145 11622275 13946730 14610860 15341403 18263575 19923900 20455204 21916290 23244550 25569005 27893460 30682806 34866825 36527150 43832580 46489100 51138010 54790725 61365612 69733650 73054300 76707015 102276020 109581450 127845025 139467300 153414030 219162900 255690050 306828060 383535075 511380100 767070150 1534140300