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11939328 = 29322591
BaseRepresentation
bin101101100010…
…111000000000
3211110120200100
4231202320000
511024024303
61103522400
7203324352
oct55427000
924416610
1011939328
116815215
123bb9400
1326204bb
14182b0d2
1510ac8a3
hexb62e00

11939328 has 60 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 3978240.

The previous prime is 11939297. The next prime is 11939339. The reversal of 11939328 is 82393911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11939292 and 11939301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3313 + ... + 5903.

Almost surely, 211939328 is an apocalyptic number.

11939328 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 11939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

11939328 is an abundant number, since it is smaller than the sum of its proper divisors (22531680).

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

11939328 is an equidigital number, since it uses as much as digits as its factorization.

11939328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2596 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 11939328 is about 3455.3332690205. Note that the first 3 decimals coincide. The cubic root of 11939328 is about 228.5563513864.

The spelling of 11939328 in words is "eleven million, nine hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 2591 4608 5182 7773 10364 15546 20728 23319 31092 41456 46638 62184 82912 93276 124368 165824 186552 248736 331648 373104 497472 663296 746208 994944 1326592 1492416 1989888 2984832 3979776 5969664 11939328