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135973776 = 2432832787
BaseRepresentation
bin10000001101011…
…00101110010000
3100110212011221210
420012230232100
5234302130101
621254220120
73240521001
oct1006545620
9313764853
10135973776
116a832124
1239654640
132222a873
14140b71a8
15be0d7d6
hex81acb90

135973776 has 20 divisors (see below), whose sum is σ = 351265712. Its totient is φ = 45324576.

The previous prime is 135973741. The next prime is 135973777. The reversal of 135973776 is 677379531.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2832787 = 135973776 / (1 + 3 + 5 + 9 + 7 + 3 + 7 + 7 + 6).

It is not an unprimeable number, because it can be changed into a prime (135973777) 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 3 ways as a sum of consecutive naturals, for example, 1416346 + ... + 1416441.

Almost surely, 2135973776 is an apocalyptic number.

135973776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135973776 is an abundant number, since it is smaller than the sum of its proper divisors (215291936).

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

135973776 is a wasteful number, since it uses less digits than its factorization.

135973776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832798 (or 2832792 counting only the distinct ones).

The product of its digits is 833490, while the sum is 48.

The square root of 135973776 is about 11660.7793907612. The cubic root of 135973776 is about 514.2232624342.

The spelling of 135973776 in words is "one hundred thirty-five million, nine hundred seventy-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 2832787 5665574 8498361 11331148 16996722 22662296 33993444 45324592 67986888 135973776