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136784431 = 7217315297
BaseRepresentation
bin10000010011100…
…10101000101111
3100112101100222001
420021302220233
5240004100211
621323433131
73250435300
oct1011625057
9315340861
10136784431
1170236193
12399857a7
1322452844
14142487a7
15c01dac1
hex8272a2f

136784431 has 24 divisors (see below), whose sum is σ = 173943936. Its totient is φ = 106767360.

The previous prime is 136784399. The next prime is 136784447. The reversal of 136784431 is 134487631.

It is not a de Polignac number, because 136784431 - 25 = 136784399 is a prime.

It is a super-2 number, since 2×1367844312 = 37419961127987522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136784491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23175 + ... + 28471.

It is an arithmetic number, because the mean of its divisors is an integer number (7247664).

Almost surely, 2136784431 is an apocalyptic number.

136784431 is a deficient number, since it is larger than the sum of its proper divisors (37159505).

136784431 is a wasteful number, since it uses less digits than its factorization.

136784431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5352 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 136784431 is about 11695.4876341262. The cubic root of 136784431 is about 515.2431453116.

The spelling of 136784431 in words is "one hundred thirty-six million, seven hundred eighty-four thousand, four hundred thirty-one".

Divisors: 1 7 17 31 49 119 217 527 833 1519 3689 5297 25823 37079 90049 164207 259553 630343 1149449 2791519 4412401 8046143 19540633 136784431