Search a number
-
+
535132100 = 22525351321
BaseRepresentation
bin11111111001010…
…111011111000100
31101021221112020102
4133321113133010
52043443211400
6125033423232
716155355616
oct3771273704
91337845212
10535132100
11255082738
1212b26ab18
1386b36019
14510dcdb6
1531ea79d5
hex1fe577c4

535132100 has 18 divisors (see below), whose sum is σ = 1161236874. Its totient is φ = 214052800.

The previous prime is 535132079. The next prime is 535132127. The reversal of 535132100 is 1231535.

It can be written as a sum of positive squares in 3 ways, for example, as 95726656 + 439405444 = 9784^2 + 20962^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2675561 + ... + 2675760.

Almost surely, 2535132100 is an apocalyptic number.

535132100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

535132100 is an abundant number, since it is smaller than the sum of its proper divisors (626104774).

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

535132100 is a wasteful number, since it uses less digits than its factorization.

535132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351335 (or 5351328 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 535132100 is about 23132.9224267061. The cubic root of 535132100 is about 811.8709482112.

Adding to 535132100 its reverse (1231535), we get a palindrome (536363635).

The spelling of 535132100 in words is "five hundred thirty-five million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5351321 10702642 21405284 26756605 53513210 107026420 133783025 267566050 535132100