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11320272 = 2432127619
BaseRepresentation
bin101011001011…
…101111010000
3210022010111100
4223023233100
510344222042
61042344400
7165135465
oct53135720
923263440
1011320272
1164320a7
12395b100
1324647b2
14170966c
15ed924c
hexacbbd0

11320272 has 60 divisors (see below), whose sum is σ = 31982080. Its totient is φ = 3737664.

The previous prime is 11320259. The next prime is 11320273. The reversal of 11320272 is 27202311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17979 + ... + 18597.

Almost surely, 211320272 is an apocalyptic number.

11320272 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 11320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991040).

11320272 is an abundant number, since it is smaller than the sum of its proper divisors (20661808).

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

11320272 is a wasteful number, since it uses less digits than its factorization.

11320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11320272 is about 3364.5611898136. The cubic root of 11320272 is about 224.5358133880.

Adding to 11320272 its reverse (27202311), we get a palindrome (38522583).

The spelling of 11320272 in words is "eleven million, three hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 619 762 1016 1143 1238 1524 1857 2032 2286 2476 3048 3714 4572 4952 5571 6096 7428 9144 9904 11142 14856 18288 22284 29712 44568 78613 89136 157226 235839 314452 471678 628904 707517 943356 1257808 1415034 1886712 2830068 3773424 5660136 11320272