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11242368 = 27333253
BaseRepresentation
bin101010111000…
…101110000000
3210011011122000
4222320232000
510334223433
61040544000
7164362404
oct52705600
923134560
1011242368
116389615
123922000
1324381b7
1416c9104
15ec1113
hexab8b80

11242368 has 64 divisors (see below), whose sum is σ = 33190800. Its totient is φ = 3746304.

The previous prime is 11242327. The next prime is 11242373. The reversal of 11242368 is 86324211.

It is a tau number, because it is divible by the number of its divisors (64).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1830 + ... + 5082.

Almost surely, 211242368 is an apocalyptic number.

11242368 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 11242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595400).

11242368 is an abundant number, since it is smaller than the sum of its proper divisors (21948432).

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

11242368 is an equidigital number, since it uses as much as digits as its factorization.

11242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3258 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11242368 is about 3352.9640618414. The cubic root of 11242368 is about 224.0195561158.

Adding to 11242368 its reverse (86324211), we get a palindrome (97566579).

The spelling of 11242368 in words is "eleven million, two hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3253 3456 6506 9759 13012 19518 26024 29277 39036 52048 58554 78072 87831 104096 117108 156144 175662 208192 234216 312288 351324 416384 468432 624576 702648 936864 1249152 1405296 1873728 2810592 3747456 5621184 11242368