Search a number
-
+
1531080540 = 2232511773273
BaseRepresentation
bin101101101000010…
…0110111101011100
310221200222221122200
41123100212331130
511113424034130
6411532211500
752640653443
oct13320467534
93850887580
101531080540
11716289520
12368909b90
131b5285022
141074b3d5a
158e638760
hex5b426f5c

1531080540 has 72 divisors (see below), whose sum is σ = 5066491248. Its totient is φ = 371170560.

The previous prime is 1531080517. The next prime is 1531080547. The reversal of 1531080540 is 450801351.

1531080540 is a `hidden beast` number, since 1 + 531 + 0 + 80 + 54 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531080547) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 384657 + ... + 388616.

It is an arithmetic number, because the mean of its divisors is an integer number (70367934).

Almost surely, 21531080540 is an apocalyptic number.

1531080540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1531080540 is an abundant number, since it is smaller than the sum of its proper divisors (3535410708).

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

1531080540 is a wasteful number, since it uses less digits than its factorization.

1531080540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773299 (or 773294 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1531080540 is about 39129.0242658822. The cubic root of 1531080540 is about 1152.5665525598.

Adding to 1531080540 its reverse (450801351), we get a palindrome (1981881891).

The spelling of 1531080540 in words is "one billion, five hundred thirty-one million, eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 773273 1546546 2319819 3093092 3866365 4639638 6959457 7732730 8506003 9279276 11599095 13918914 15465460 17012006 23198190 25518009 27837828 34024012 34797285 42530015 46396380 51036018 69594570 76554027 85060030 102072036 127590045 139189140 153108054 170120060 255180090 306216108 382770135 510360180 765540270 1531080540