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11298312 = 2333192753
BaseRepresentation
bin101011000110…
…011000001000
3210021000101000
4223012120020
510343021222
61042055000
7165014454
oct53063010
923230330
1011298312
116417653
12394a460
1324577bc
141701664
15ed29ac
hexac6608

11298312 has 64 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 3566592.

The previous prime is 11298311. The next prime is 11298347. The reversal of 11298312 is 21389211.

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 plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (11298311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2728 + ... + 5480.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 211298312 is an apocalyptic number.

11298312 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 11298312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

11298312 is an abundant number, since it is smaller than the sum of its proper divisors (21749688).

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

11298312 is a wasteful number, since it uses less digits than its factorization.

11298312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2777 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11298312 is about 3361.2961785597. The cubic root of 11298312 is about 224.3905283543.

The spelling of 11298312 in words is "eleven million, two hundred ninety-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 2753 4104 5506 8259 11012 16518 22024 24777 33036 49554 52307 66072 74331 99108 104614 148662 156921 198216 209228 297324 313842 418456 470763 594648 627684 941526 1255368 1412289 1883052 2824578 3766104 5649156 11298312