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135484632 = 233231101601
BaseRepresentation
bin10000001001101…
…01010011011000
3100102221022222100
420010311103120
5234141002012
621235523400
73233412633
oct1004652330
9312838870
10135484632
116a528678
1239459560
13220b902a
1413dcac1a
15bd638dc
hex81354d8

135484632 has 96 divisors (see below), whose sum is σ = 383160960. Its totient is φ = 43200000.

The previous prime is 135484631. The next prime is 135484633. The reversal of 135484632 is 236484531.

135484632 is a `hidden beast` number, since 13 + 5 + 4 + 8 + 4 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (135484631) and next prime (135484633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135484631) by changing a digit.

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, 225132 + ... + 225732.

It is an arithmetic number, because the mean of its divisors is an integer number (3991260).

Almost surely, 2135484632 is an apocalyptic number.

135484632 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 135484632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191580480).

135484632 is an abundant number, since it is smaller than the sum of its proper divisors (247676328).

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

135484632 is a wasteful number, since it uses less digits than its factorization.

135484632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 135484632 is about 11639.7865959819. The cubic root of 135484632 is about 513.6059094729.

The spelling of 135484632 in words is "one hundred thirty-five million, four hundred eighty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 101 124 186 202 248 279 303 372 404 558 601 606 744 808 909 1116 1202 1212 1803 1818 2232 2404 2424 3131 3606 3636 4808 5409 6262 7212 7272 9393 10818 12524 14424 18631 18786 21636 25048 28179 37262 37572 43272 55893 56358 60701 74524 75144 111786 112716 121402 149048 167679 182103 223572 225432 242804 335358 364206 447144 485608 546309 670716 728412 1092618 1341432 1456824 1881731 2185236 3763462 4370472 5645193 7526924 11290386 15053848 16935579 22580772 33871158 45161544 67742316 135484632