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269928 = 233223163
BaseRepresentation
bin1000001111001101000
3111201021100
41001321220
532114203
65441400
72202651
oct1017150
9451240
10269928
1117488a
12110260
1395b29
1470528
1554ea3
hex41e68

269928 has 48 divisors (see below), whose sum is σ = 767520. Its totient is φ = 85536.

The previous prime is 269923. The next prime is 269939. The reversal of 269928 is 829962.

It is a super-2 number, since 2×2699282 = 145722250368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 269892 and 269901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269923) by changing a digit.

269928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (15990).

2269928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383760).

269928 is an abundant number, since it is smaller than the sum of its proper divisors (497592).

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

269928 is a wasteful number, since it uses less digits than its factorization.

269928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 269928 is about 519.5459556189. The cubic root of 269928 is about 64.6272950310.

It can be divided in two parts, 26992 and 8, that added together give a cube (27000 = 303).

The spelling of 269928 in words is "two hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 163 184 207 276 326 414 489 552 652 828 978 1304 1467 1656 1956 2934 3749 3912 5868 7498 11247 11736 14996 22494 29992 33741 44988 67482 89976 134964 269928