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11272608 = 25344349
BaseRepresentation
bin101011000000…
…000110100000
3210012201010000
4223000012200
510341210413
61041340000
7164546514
oct53000640
923181100
1011272608
1163aa306
123937600
132448ba9
1416d6144
15eca073
hexac01a0

11272608 has 60 divisors (see below), whose sum is σ = 33160050. Its totient is φ = 3756672.

The previous prime is 11272607. The next prime is 11272627. The reversal of 11272608 is 80627211.

It can be written as a sum of positive squares in only one way, i.e., 11209104 + 63504 = 3348^2 + 252^2 .

It is a super-2 number, since 2×112726082 = 254143382243328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11272601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 418 + ... + 4766.

Almost surely, 211272608 is an apocalyptic number.

11272608 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 11272608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580025).

11272608 is an abundant number, since it is smaller than the sum of its proper divisors (21887442).

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

11272608 is an equidigital number, since it uses as much as digits as its factorization.

11272608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11272608 is about 3357.4704764152. The cubic root of 11272608 is about 224.2202340778.

Adding to 11272608 its reverse (80627211), we get a palindrome (91899819).

The spelling of 11272608 in words is "eleven million, two hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4349 8698 13047 17396 26094 34792 39141 52188 69584 78282 104376 117423 139168 156564 208752 234846 313128 352269 417504 469692 626256 704538 939384 1252512 1409076 1878768 2818152 3757536 5636304 11272608