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135405831 = 3115377419
BaseRepresentation
bin10000001001000…
…10000100000111
3100102210022212210
420010202010013
5234130441311
621234114503
73232634121
oct1004420407
9312708783
10135405831
116a484450
123941ba33
132208c1c2
1413daa211
15bd4a3a6
hex8122107

135405831 has 16 divisors (see below), whose sum is σ = 200672640. Its totient is φ = 80514720.

The previous prime is 135405827. The next prime is 135405841. The reversal of 135405831 is 138504531.

It is not a de Polignac number, because 135405831 - 22 = 135405827 is a prime.

It is a super-2 number, since 2×1354058312 = 36669478137601122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135405841) 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, 36961 + ... + 40458.

It is an arithmetic number, because the mean of its divisors is an integer number (12542040).

Almost surely, 2135405831 is an apocalyptic number.

135405831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135405831 is a deficient number, since it is larger than the sum of its proper divisors (65266809).

135405831 is a wasteful number, since it uses less digits than its factorization.

135405831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77486.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 135405831 is about 11636.4011189027. The cubic root of 135405831 is about 513.5063151306.

The spelling of 135405831 in words is "one hundred thirty-five million, four hundred five thousand, eight hundred thirty-one".

Divisors: 1 3 11 33 53 159 583 1749 77419 232257 851609 2554827 4103207 12309621 45135277 135405831