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135348432 = 2435383641
BaseRepresentation
bin10000001000101…
…00000011010000
3100102200102010220
420010110003100
5234122122212
621232553040
73232304562
oct1004240320
9312612126
10135348432
116a44530a
12393b2780
132206c03b
1413d93332
15bd3838c
hex81140d0

135348432 has 80 divisors (see below), whose sum is σ = 361101888. Its totient is φ = 43663360.

The previous prime is 135348413. The next prime is 135348467. The reversal of 135348432 is 234843531.

It is a junction number, because it is equal to n+sod(n) for n = 135348393 and 135348402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210832 + ... + 211472.

Almost surely, 2135348432 is an apocalyptic number.

135348432 is a gapful number since it is divisible by the number (12) 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 135348432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180550944).

135348432 is an abundant number, since it is smaller than the sum of its proper divisors (225753456).

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

135348432 is a wasteful number, since it uses less digits than its factorization.

135348432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 135348432 is about 11633.9345021364. The cubic root of 135348432 is about 513.4337458413.

The spelling of 135348432 in words is "one hundred thirty-five million, three hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 83 106 159 166 212 249 318 332 424 498 636 641 664 848 996 1272 1282 1328 1923 1992 2544 2564 3846 3984 4399 5128 7692 8798 10256 13197 15384 17596 26394 30768 33973 35192 52788 53203 67946 70384 101919 105576 106406 135892 159609 203838 211152 212812 271784 319218 407676 425624 543568 638436 815352 851248 1276872 1630704 2553744 2819759 5639518 8459277 11279036 16918554 22558072 33837108 45116144 67674216 135348432