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67824132 = 2235652011
BaseRepresentation
bin1000000101011…
…10101000000100
311201121211012220
410002232220010
5114330333012
610421412340
71452331665
oct402565004
9151554186
1067824132
1135315302
121a86a0b0
131108932c
14901736c
155e4b08c
hex40aea04

67824132 has 12 divisors (see below), whose sum is σ = 158256336. Its totient is φ = 22608040.

The previous prime is 67824121. The next prime is 67824143. The reversal of 67824132 is 23142876.

67824132 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (67824121) and next prime (67824143).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×678241322 = 9200225763106848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67824093 and 67824102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2825994 + ... + 2826017.

It is an arithmetic number, because the mean of its divisors is an integer number (13188028).

Almost surely, 267824132 is an apocalyptic number.

It is an amenable number.

67824132 is an abundant number, since it is smaller than the sum of its proper divisors (90432204).

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

67824132 is a wasteful number, since it uses less digits than its factorization.

67824132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652018 (or 5652016 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 67824132 is about 8235.5407837008. The cubic root of 67824132 is about 407.8133277152.

The spelling of 67824132 in words is "sixty-seven million, eight hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 5652011 11304022 16956033 22608044 33912066 67824132