Search a number
-
+
269730 = 236537
BaseRepresentation
bin1000001110110100010
3111201000000
41001312202
532112410
65440430
72202246
oct1016642
9451000
10269730
1117471a
12110116
1395a06
1470426
1554dc0
hex41da2

269730 has 56 divisors (see below), whose sum is σ = 747612. Its totient is φ = 69984.

The previous prime is 269723. The next prime is 269741. The reversal of 269730 is 37962.

It can be written as a sum of positive squares in 2 ways, for example, as 263169 + 6561 = 513^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 269694 and 269703.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7272 + ... + 7308.

269730 is a Friedman number, since it can be written as 370*9^(6/2), using all its digits and the basic arithmetic operations.

2269730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373806).

269730 is an abundant number, since it is smaller than the sum of its proper divisors (477882).

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

269730 is an equidigital number, since it uses as much as digits as its factorization.

269730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 269730 is about 519.3553696651. The cubic root of 269730 is about 64.6114891686.

It can be divided in two parts, 269 and 730, that added together give a palindrome (999).

The spelling of 269730 in words is "two hundred sixty-nine thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 729 810 999 1110 1215 1458 1665 1998 2430 2997 3330 3645 4995 5994 7290 8991 9990 14985 17982 26973 29970 44955 53946 89910 134865 269730