Search a number
-
+
135530444 = 22723229919
BaseRepresentation
bin10000001010000…
…00011111001100
3100110000122211002
420011000133030
5234143433234
621240515432
73233663330
oct1005003714
9313018732
10135530444
116a55a035
123947bb78
1322103b3a
1413ddd7c0
15bd7227e
hex81407cc

135530444 has 48 divisors (see below), whose sum is σ = 284390400. Its totient is φ = 55256256.

The previous prime is 135530441. The next prime is 135530489. The reversal of 135530444 is 444035531.

It is not an unprimeable number, because it can be changed into a prime (135530441) 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, 147017 + ... + 147935.

It is an arithmetic number, because the mean of its divisors is an integer number (5924800).

Almost surely, 2135530444 is an apocalyptic number.

135530444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135530444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142195200).

135530444 is an abundant number, since it is smaller than the sum of its proper divisors (148859956).

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

135530444 is a wasteful number, since it uses less digits than its factorization.

135530444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 135530444 is about 11641.7543351507. The cubic root of 135530444 is about 513.6637922060.

Adding to 135530444 its reverse (444035531), we get a palindrome (579565975).

The spelling of 135530444 in words is "one hundred thirty-five million, five hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 229 322 458 644 916 919 1603 1838 3206 3676 5267 6412 6433 10534 12866 21068 21137 25732 36869 42274 73738 84548 147476 147959 210451 295918 420902 591836 841804 1473157 2946314 4840373 5892628 9680746 19361492 33882611 67765222 135530444