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11228736 = 263233251
BaseRepresentation
bin101010110101…
…011001000000
3210010110221010
4222311121000
510333304421
61040400520
7164304561
oct52653100
923113833
1011228736
11637a352
123916140
132431c2c
1416c4168
15ebc076
hexab5640

11228736 has 56 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 3712000.

The previous prime is 11228689. The next prime is 11228743. The reversal of 11228736 is 63782211.

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, 44611 + ... + 44861.

It is an arithmetic number, because the mean of its divisors is an integer number (534924).

Almost surely, 211228736 is an apocalyptic number.

11228736 is a gapful number since it is divisible by the number (16) 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 11228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

11228736 is an abundant number, since it is smaller than the sum of its proper divisors (18727008).

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

11228736 is a wasteful number, since it uses less digits than its factorization.

11228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11228736 is about 3350.9306170078. The cubic root of 11228736 is about 223.9289740801.

The spelling of 11228736 in words is "eleven million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 251 466 502 699 753 932 1004 1398 1506 1864 2008 2796 3012 3728 4016 5592 6024 7456 8032 11184 12048 14912 16064 22368 24096 44736 48192 58483 116966 175449 233932 350898 467864 701796 935728 1403592 1871456 2807184 3742912 5614368 11228736