Search a number
-
+
1533460660 = 225537611901
BaseRepresentation
bin101101101100110…
…1100000010110100
310221212110212120021
41123121230002310
511120031220120
6412055214524
753000125534
oct13331540264
93855425507
101533460660
11717664766
12369677444
131b5909494
141079334c4
158e958aaa
hex5b66c0b4

1533460660 has 48 divisors (see below), whose sum is σ = 3287066832. Its totient is φ = 600704000.

The previous prime is 1533460631. The next prime is 1533460667. The reversal of 1533460660 is 660643351.

1533460660 = T195 + T196 + ... + T2095.

It can be written as a sum of positive squares in 8 ways, for example, as 446307876 + 1087152784 = 21126^2 + 32972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1533460667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805710 + ... + 807610.

It is an arithmetic number, because the mean of its divisors is an integer number (68480559).

Almost surely, 21533460660 is an apocalyptic number.

1533460660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1533460660 is an abundant number, since it is smaller than the sum of its proper divisors (1753606172).

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

1533460660 is a wasteful number, since it uses less digits than its factorization.

1533460660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 1533460660 is about 39159.4261960004. The cubic root of 1533460660 is about 1153.1634787972.

The spelling of 1533460660 in words is "one billion, five hundred thirty-three million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 761 1060 1522 1901 3044 3802 3805 7604 7610 9505 15220 19010 38020 40333 80666 100753 161332 201506 201665 403012 403330 503765 806660 1007530 1446661 2015060 2893322 5786644 7233305 14466610 28933220 76673033 153346066 306692132 383365165 766730330 1533460660