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135832428 = 22325371191
BaseRepresentation
bin10000001100010…
…10001101101100
3100110121000001200
420012022031230
5234233114203
621251205500
73236361624
oct1006121554
9313530050
10135832428
116a745a06
12395a6890
13221ab424
141407b884
15bdd19a3
hex818a36c

135832428 has 36 divisors (see below), whose sum is σ = 349837488. Its totient is φ = 44422560.

The previous prime is 135832427. The next prime is 135832429. The reversal of 135832428 is 824238531.

It is an interprime number because it is at equal distance from previous prime (135832427) and next prime (135832429).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 135832392 and 135832401.

It is not an unprimeable number, because it can be changed into a prime (135832427) 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 11 ways as a sum of consecutive naturals, for example, 33688 + ... + 37503.

It is an arithmetic number, because the mean of its divisors is an integer number (9717708).

Almost surely, 2135832428 is an apocalyptic number.

135832428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135832428 is an abundant number, since it is smaller than the sum of its proper divisors (214005060).

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

135832428 is a wasteful number, since it uses less digits than its factorization.

135832428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71254 (or 71249 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 135832428 is about 11654.7169849808. The cubic root of 135832428 is about 514.0450181870.

The spelling of 135832428 in words is "one hundred thirty-five million, eight hundred thirty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 71191 142382 213573 284764 427146 640719 854292 1281438 2562876 3773123 7546246 11319369 15092492 22638738 33958107 45277476 67916214 135832428