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135806451 = 31179113461
BaseRepresentation
bin10000001100000…
…11110111110011
3100110112200102120
420012003313303
5234231301301
621250445323
73236223114
oct1006036763
9313480376
10135806451
116a728440
1239593843
132219c661
141407220b
15bdc8e36
hex8183df3

135806451 has 32 divisors (see below), whose sum is σ = 202245120. Its totient is φ = 80371200.

The previous prime is 135806423. The next prime is 135806459. The reversal of 135806451 is 154608531.

135806451 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135806451 - 221 = 133709299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (135806459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294361 + ... + 294821.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2135806451 is an apocalyptic number.

135806451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135806451 is a deficient number, since it is larger than the sum of its proper divisors (66438669).

135806451 is a wasteful number, since it uses less digits than its factorization.

135806451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 135806451 is about 11653.6024902173. The cubic root of 135806451 is about 514.0122469287.

The spelling of 135806451 in words is "one hundred thirty-five million, eight hundred six thousand, four hundred fifty-one".

Divisors: 1 3 11 33 79 113 237 339 461 869 1243 1383 2607 3729 5071 8927 15213 26781 36419 52093 98197 109257 156279 294591 400609 573023 1201827 1719069 4115347 12346041 45268817 135806451