Search a number
-
+
1530266832 = 243217625109
BaseRepresentation
bin101101100110110…
…0000010011010000
310221122110121110100
41123031200103100
511113222014312
6411502532400
752631024223
oct13315402320
93848417410
101530266832
11715883136
12368597100
131b505b843
141073415ba
158e5275dc
hex5b3604d0

1530266832 has 60 divisors (see below), whose sum is σ = 4534547940. Its totient is φ = 480082944.

The previous prime is 1530266819. The next prime is 1530266839. The reversal of 1530266832 is 2386620351.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 540283536 + 989983296 = 23244^2 + 31464^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530266839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310107 + ... + 315002.

It is an arithmetic number, because the mean of its divisors is an integer number (75575799).

Almost surely, 21530266832 is an apocalyptic number.

1530266832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1530266832 is an abundant number, since it is smaller than the sum of its proper divisors (3004281108).

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

1530266832 is a wasteful number, since it uses less digits than its factorization.

1530266832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625140 (or 625131 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1530266832 is about 39118.6251292143. The cubic root of 1530266832 is about 1152.3623353871.

The spelling of 1530266832 in words is "one billion, five hundred thirty million, two hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 625109 1250218 1875327 2500436 3750654 5000872 5625981 7501308 10001744 10626853 11251962 15002616 21253706 22503924 30005232 31880559 42507412 45007848 63761118 85014824 90015696 95641677 127522236 170029648 191283354 255044472 382566708 510088944 765133416 1530266832