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135424332 = 22332235623
BaseRepresentation
bin10000001001001…
…10100101001100
3100102211021021000
420010212211030
5234132034312
621234340300
73233042061
oct1004464514
9312737230
10135424332
116a49733a
123942a690
1322097754
1413db2c68
15bd50adc
hex812694c

135424332 has 48 divisors (see below), whose sum is σ = 352737280. Its totient is φ = 44931024.

The previous prime is 135424327. The next prime is 135424339. The reversal of 135424332 is 233424531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135424296 and 135424305.

It is not an unprimeable number, because it can be changed into a prime (135424339) 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, 21273 + ... + 26895.

Almost surely, 2135424332 is an apocalyptic number.

135424332 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 135424332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176368640).

135424332 is an abundant number, since it is smaller than the sum of its proper divisors (217312948).

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

135424332 is a wasteful number, since it uses less digits than its factorization.

135424332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5851 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 135424332 is about 11637.1960540329. The cubic root of 135424332 is about 513.5297014885.

Adding to 135424332 its reverse (233424531), we get a palindrome (368848863).

The spelling of 135424332 in words is "one hundred thirty-five million, four hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 2007 2676 4014 5623 6021 8028 11246 12042 16869 22492 24084 33738 50607 67476 101214 151821 202428 303642 607284 1253929 2507858 3761787 5015716 7523574 11285361 15047148 22570722 33856083 45141444 67712166 135424332