Search a number
-
+
269806920 = 233510721013
BaseRepresentation
bin10000000101001…
…110110101001000
3200210200121111220
4100011032311020
51023032310140
642434522040
76454215045
oct2005166510
9623617456
10269806920
11129331a29
1276436320
1343b88c86
1427b941cc
1518a47bd0
hex1014ed48

269806920 has 64 divisors (see below), whose sum is σ = 817024320. Its totient is φ = 71272704.

The previous prime is 269806903. The next prime is 269806921. The reversal of 269806920 is 29608962.

269806920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (269806921) 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 15 ways as a sum of consecutive naturals, for example, 2334 + ... + 23346.

It is an arithmetic number, because the mean of its divisors is an integer number (12766005).

Almost surely, 2269806920 is an apocalyptic number.

269806920 is a gapful number since it is divisible by the number (20) 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 269806920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408512160).

269806920 is an abundant number, since it is smaller than the sum of its proper divisors (547217400).

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

269806920 is a wasteful number, since it uses less digits than its factorization.

269806920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21134 (or 21130 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 269806920 is about 16425.8004371172. The cubic root of 269806920 is about 646.1763042517.

The spelling of 269806920 in words is "two hundred sixty-nine million, eight hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 21013 42026 63039 84052 105065 126078 168104 210130 252156 315195 420260 504312 630390 840520 1260780 2248391 2521560 4496782 6745173 8993564 11241955 13490346 17987128 22483910 26980692 33725865 44967820 53961384 67451730 89935640 134903460 269806920