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1138280 = 2351113199
BaseRepresentation
bin100010101111001101000
32010211102112
410111321220
5242411110
640221452
712450413
oct4257150
92124375
101138280
11708230
1246a888
1330b150
14218b7a
15177405
hex115e68

1138280 has 64 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 380160.

The previous prime is 1138273. The next prime is 1138363. The reversal of 1138280 is 828311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5621 + ... + 5819.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

21138280 is an apocalyptic number.

1138280 is a gapful number since it is divisible by the number (10) 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 1138280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1138280 is an abundant number, since it is smaller than the sum of its proper divisors (1885720).

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

1138280 is a wasteful number, since it uses less digits than its factorization.

1138280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1138280 is about 1066.9020573605. The cubic root of 1138280 is about 104.4118285898.

The spelling of 1138280 in words is "one million, one hundred thirty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 199 220 260 286 398 440 520 572 715 796 995 1144 1430 1592 1990 2189 2587 2860 3980 4378 5174 5720 7960 8756 10348 10945 12935 17512 20696 21890 25870 28457 43780 51740 56914 87560 103480 113828 142285 227656 284570 569140 1138280