Search a number
-
+
269120 = 265292
BaseRepresentation
bin1000001101101000000
3111200011102
41001231000
532102440
65433532
72200415
oct1015500
9450142
10269120
11174215
1210b8a8
1395657
147010c
1554b15
hex41b40

269120 has 42 divisors (see below), whose sum is σ = 663702. Its totient is φ = 103936.

The previous prime is 269117. The next prime is 269131. The reversal of 269120 is 21962.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 238144 = 176^2 + 488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 269092 and 269101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9266 + ... + 9294.

2269120 is an apocalyptic number.

269120 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 269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331851).

269120 is an abundant number, since it is smaller than the sum of its proper divisors (394582).

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

269120 is an equidigital number, since it uses as much as digits as its factorization.

269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 269120 is about 518.7677707800. The cubic root of 269120 is about 64.5627456635.

Multiplying 269120 by its sum of digits (20), we get a square (5382400 = 23202).

269120 divided by its sum of digits (20) gives a square (13456 = 1162).

The spelling of 269120 in words is "two hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 841 928 1160 1682 1856 2320 3364 4205 4640 6728 8410 9280 13456 16820 26912 33640 53824 67280 134560 269120