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135779712 = 2733471019
BaseRepresentation
bin10000001011111…
…01010110000000
3100110111022202020
420011331112000
5234224422322
621250121440
73236052135
oct1005752600
9313438666
10135779712
116a70a342
1239580280
1322190433
141406658c
15bdc105c
hex817d580

135779712 has 64 divisors (see below), whose sum is σ = 362059200. Its totient is φ = 45085184.

The previous prime is 135779671. The next prime is 135779729. The reversal of 135779712 is 217977531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1357797122 = 36872260381605888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 132739 + ... + 133757.

It is an arithmetic number, because the mean of its divisors is an integer number (5657175).

Almost surely, 2135779712 is an apocalyptic number.

135779712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181029600).

135779712 is an abundant number, since it is smaller than the sum of its proper divisors (226279488).

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

135779712 is a wasteful number, since it uses less digits than its factorization.

135779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1371 counting only the distinct ones).

The product of its digits is 92610, while the sum is 42.

The square root of 135779712 is about 11652.4551919327. The cubic root of 135779712 is about 513.9785100051.

The spelling of 135779712 in words is "one hundred thirty-five million, seven hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 347 384 694 1019 1041 1388 2038 2082 2776 3057 4076 4164 5552 6114 8152 8328 11104 12228 16304 16656 22208 24456 32608 33312 44416 48912 65216 66624 97824 130432 133248 195648 353593 391296 707186 1060779 1414372 2121558 2828744 4243116 5657488 8486232 11314976 16972464 22629952 33944928 45259904 67889856 135779712