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11254272 = 29317431
BaseRepresentation
bin101010111011…
…101000000000
3210011202221220
4222323220000
510340114042
61041115040
7164442201
oct52735000
923152856
1011254272
116397557
123928a80
132440743
1416cd5a8
15ec48ec
hexabba00

11254272 has 80 divisors (see below), whose sum is σ = 31819392. Its totient is φ = 3522560.

The previous prime is 11254249. The next prime is 11254273. The reversal of 11254272 is 27245211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11254273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25897 + ... + 26327.

Almost surely, 211254272 is an apocalyptic number.

11254272 is a gapful number since it is divisible by the number (12) 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 11254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696).

11254272 is an abundant number, since it is smaller than the sum of its proper divisors (20565120).

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

11254272 is an equidigital number, since it uses as much as digits as its factorization.

11254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 453 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 11254272 is about 3354.7387379646. The cubic root of 11254272 is about 224.0985960513.

Adding to 11254272 its reverse (27245211), we get a palindrome (38499483).

The spelling of 11254272 in words is "eleven million, two hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 431 512 544 768 816 862 1088 1293 1536 1632 1724 2176 2586 3264 3448 4352 5172 6528 6896 7327 8704 10344 13056 13792 14654 20688 21981 26112 27584 29308 41376 43962 55168 58616 82752 87924 110336 117232 165504 175848 220672 234464 331008 351696 468928 662016 703392 937856 1406784 1875712 2813568 3751424 5627136 11254272