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1139328 = 27322343
BaseRepresentation
bin100010110001010000000
32010212212100
410112022000
5242424303
640230400
712453441
oct4261200
92125770
101139328
11708aa3
1246b400
1330b778
142192c8
151778a3
hex116280

1139328 has 96 divisors (see below), whose sum is σ = 3500640. Its totient is φ = 354816.

The previous prime is 1139321. The next prime is 1139329. The reversal of 1139328 is 8239311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1139321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26475 + ... + 26517.

It is an arithmetic number, because the mean of its divisors is an integer number (36465).

21139328 is an apocalyptic number.

1139328 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 1139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750320).

1139328 is an abundant number, since it is smaller than the sum of its proper divisors (2361312).

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

1139328 is a wasteful number, since it uses less digits than its factorization.

1139328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1139328 is about 1067.3930859810. The cubic root of 1139328 is about 104.4438623109.

Adding to 1139328 its product of digits (1296), we get a square (1140624 = 10682).

The spelling of 1139328 in words is "one million, one hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 48 64 69 72 86 92 96 128 129 138 144 172 184 192 207 258 276 288 344 368 384 387 414 516 552 576 688 736 774 828 989 1032 1104 1152 1376 1472 1548 1656 1978 2064 2208 2752 2944 2967 3096 3312 3956 4128 4416 5504 5934 6192 6624 7912 8256 8832 8901 11868 12384 13248 15824 16512 17802 23736 24768 26496 31648 35604 47472 49536 63296 71208 94944 126592 142416 189888 284832 379776 569664 1139328