Search a number
-
+
136034780 = 225721271093
BaseRepresentation
bin10000001101110…
…11100111011100
3100110222021122012
420012323213130
5234311103110
621255410352
73241163600
oct1006734734
9313867565
10136034780
116a873a42
12396839b8
132224c56b
14140d1500
15be21905
hex81bb9dc

136034780 has 72 divisors (see below), whose sum is σ = 335236608. Its totient is φ = 46230912.

The previous prime is 136034777. The next prime is 136034803. The reversal of 136034780 is 87430631.

It is a super-2 number, since 2×1360347802 = 37010922739296800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123914 + ... + 125006.

It is an arithmetic number, because the mean of its divisors is an integer number (4656064).

Almost surely, 2136034780 is an apocalyptic number.

136034780 is a gapful number since it is divisible by the number (10) 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 136034780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167618304).

136034780 is an abundant number, since it is smaller than the sum of its proper divisors (199201828).

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

136034780 is a wasteful number, since it uses less digits than its factorization.

136034780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 136034780 is about 11663.3948745638. The cubic root of 136034780 is about 514.3001522255.

The spelling of 136034780 in words is "one hundred thirty-six million, thirty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 127 140 196 245 254 490 508 635 889 980 1093 1270 1778 2186 2540 3556 4372 4445 5465 6223 7651 8890 10930 12446 15302 17780 21860 24892 30604 31115 38255 53557 62230 76510 107114 124460 138811 153020 214228 267785 277622 535570 555244 694055 971677 1071140 1388110 1943354 2776220 3886708 4858385 6801739 9716770 13603478 19433540 27206956 34008695 68017390 136034780