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11369268 = 2233232199
BaseRepresentation
bin101011010111…
…101100110100
3210101121201000
4223113230310
510402304033
61043403300
7165431361
oct53275464
923347630
1011369268
116465999
123983530
132480ba1
14171d468
15ee8a13
hexad7b34

11369268 has 72 divisors (see below), whose sum is σ = 30968000. Its totient is φ = 3606768.

The previous prime is 11369261. The next prime is 11369287. The reversal of 11369268 is 86296311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11369261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57033 + ... + 57231.

Almost surely, 211369268 is an apocalyptic number.

11369268 is a gapful number since it is divisible by the number (18) 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 11369268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484000).

11369268 is an abundant number, since it is smaller than the sum of its proper divisors (19598732).

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

11369268 is a wasteful number, since it uses less digits than its factorization.

11369268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

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

The square root of 11369268 is about 3371.8345155123. The cubic root of 11369268 is about 224.8592897990.

It can be divided in two parts, 1136 and 9268, that added together give a square (10404 = 1022).

The spelling of 11369268 in words is "eleven million, three hundred sixty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 199 207 276 398 414 529 597 621 796 828 1058 1194 1242 1587 1791 2116 2388 2484 3174 3582 4577 4761 5373 6348 7164 9154 9522 10746 13731 14283 18308 19044 21492 27462 28566 41193 54924 57132 82386 105271 123579 164772 210542 247158 315813 421084 494316 631626 947439 1263252 1894878 2842317 3789756 5684634 11369268