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1059380 = 225722347
BaseRepresentation
bin100000010101000110100
31222211012022
410002220310
5232400010
634412312
712001400
oct4025064
91884168
101059380
11663a23
12431098
132b126a
141d8100
1515dd55
hex102a34

1059380 has 72 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 340032.

The previous prime is 1059349. The next prime is 1059413. The reversal of 1059380 is 839501.

It is a super-2 number, since 2×10593802 = 2244571968800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22517 + ... + 22563.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

21059380 is an apocalyptic number.

1059380 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 1059380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1059380 is an abundant number, since it is smaller than the sum of its proper divisors (1698508).

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

1059380 is a wasteful number, since it uses less digits than its factorization.

1059380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1059380 is about 1029.2618714399. The cubic root of 1059380 is about 101.9413991214.

The spelling of 1059380 in words is "one million, fifty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 47 49 70 92 94 98 115 140 161 188 196 230 235 245 322 329 460 470 490 644 658 805 940 980 1081 1127 1316 1610 1645 2162 2254 2303 3220 3290 4324 4508 4606 5405 5635 6580 7567 9212 10810 11270 11515 15134 21620 22540 23030 30268 37835 46060 52969 75670 105938 151340 211876 264845 529690 1059380