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135232832 = 267793821
BaseRepresentation
bin10000000111101…
…11110101000000
3100102110112120102
420003313311000
5234104422312
621230301532
73231313550
oct1003676500
9312415512
10135232832
116a376479
12393578a8
132202b537
1413d63160
15bd13ec2
hex80f7d40

135232832 has 56 divisors (see below), whose sum is σ = 310652160. Its totient is φ = 57208320.

The previous prime is 135232831. The next prime is 135232849. The reversal of 135232832 is 238232531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 135232795 and 135232804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135232831) 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, 33482 + ... + 37302.

It is an arithmetic number, because the mean of its divisors is an integer number (5547360).

Almost surely, 2135232832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155326080).

135232832 is an abundant number, since it is smaller than the sum of its proper divisors (175419328).

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

135232832 is an equidigital number, since it uses as much as digits as its factorization.

135232832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3909 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 135232832 is about 11628.9652162176. The cubic root of 135232832 is about 513.2875310046.

The spelling of 135232832 in words is "one hundred thirty-five million, two hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 3821 4424 5056 7642 8848 15284 17696 26747 30568 35392 53494 61136 106988 122272 213976 244544 301859 427952 603718 855904 1207436 1711808 2113013 2414872 4226026 4829744 8452052 9659488 16904104 19318976 33808208 67616416 135232832