Search a number
-
+
133442000 = 245366721
BaseRepresentation
bin1111111010000…
…10100111010000
3100022002120000022
413331002213100
5233130121000
621124043012
73210144506
oct775024720
9308076008
10133442000
1169362a4a
1238833468
1321852383
1413a18676
15baad585
hex7f429d0

133442000 has 40 divisors (see below), whose sum is σ = 322667592. Its totient is φ = 53376000.

The previous prime is 133441999. The next prime is 133442009. The reversal of 133442000 is 244331.

It can be written as a sum of positive squares in 4 ways, for example, as 7463824 + 125978176 = 2732^2 + 11224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 133442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133442009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31361 + ... + 35360.

Almost surely, 2133442000 is an apocalyptic number.

133442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133442000 is an abundant number, since it is smaller than the sum of its proper divisors (189225592).

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

133442000 is an equidigital number, since it uses as much as digits as its factorization.

133442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66744 (or 66728 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 133442000 is about 11551.7098301507. The cubic root of 133442000 is about 511.0117043950.

Adding to 133442000 its reverse (244331), we get a palindrome (133686331).

It can be divided in two parts, 1334 and 42000, that added together give a palindrome (43334).

The spelling of 133442000 in words is "one hundred thirty-three million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 66721 133442 266884 333605 533768 667210 1067536 1334420 1668025 2668840 3336050 5337680 6672100 8340125 13344200 16680250 26688400 33360500 66721000 133442000