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135024344 = 23713312193
BaseRepresentation
bin10000000110001…
…00111011011000
3100102001221120122
420003010323120
5234031234334
621222012412
73226454660
oct1003047330
9312057518
10135024344
116a243874
1239277108
1321c87680
1413d0b1a0
15bcc232e
hex80c4ed8

135024344 has 96 divisors (see below), whose sum is σ = 323638560. Its totient is φ = 51425280.

The previous prime is 135024311. The next prime is 135024361. The reversal of 135024344 is 443420531.

135024344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699512 + ... + 699704.

It is an arithmetic number, because the mean of its divisors is an integer number (3371235).

Almost surely, 2135024344 is an apocalyptic number.

135024344 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 135024344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161819280).

135024344 is an abundant number, since it is smaller than the sum of its proper divisors (188614216).

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

135024344 is a wasteful number, since it uses less digits than its factorization.

135024344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 135024344 is about 11619.9975903612. The cubic root of 135024344 is about 513.0236174493.

Adding to 135024344 its reverse (443420531), we get a palindrome (578444875).

The spelling of 135024344 in words is "one hundred thirty-five million, twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 193 217 248 364 386 403 434 728 772 806 868 961 1351 1544 1612 1736 1922 2509 2702 2821 3224 3844 5018 5404 5642 5983 6727 7688 10036 10808 11284 11966 12493 13454 17563 20072 22568 23932 24986 26908 35126 41881 47864 49972 53816 70252 77779 83762 87451 99944 140504 155558 167524 174902 185473 311116 335048 349804 370946 544453 622232 699608 741892 1088906 1298311 1483784 2177812 2411149 2596622 4355624 4822298 5193244 9644596 10386488 16878043 19289192 33756086 67512172 135024344