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1069828032 = 26371361231
BaseRepresentation
bin111111110001000…
…100011111000000
32202120001220011110
4333301010133000
54142333444112
6254054043320
735340250110
oct7761043700
92676056143
101069828032
114a99876a9
1225a349540
13140848650
14a2127040
1563dc613c
hex3fc447c0

1069828032 has 112 divisors (see below), whose sum is σ = 3483855872. Its totient is φ = 282147840.

The previous prime is 1069828031. The next prime is 1069828043. The reversal of 1069828032 is 2308289601.

It is a happy number.

1069828032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10698280322 = 2289064036105986048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069828031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13144 + ... + 48087.

It is an arithmetic number, because the mean of its divisors is an integer number (31105856).

Almost surely, 21069828032 is an apocalyptic number.

1069828032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1069828032 is an abundant number, since it is smaller than the sum of its proper divisors (2414027840).

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

1069828032 is a wasteful number, since it uses less digits than its factorization.

1069828032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61266 (or 61256 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1069828032 is about 32708.2257543878. The cubic root of 1069828032 is about 1022.7543243046.

The spelling of 1069828032 in words is "one billion, sixty-nine million, eight hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 61231 122462 183693 244924 367386 428617 489848 734772 796003 857234 979696 1285851 1469544 1592006 1714468 1959392 2388009 2571702 2939088 3184012 3428936 3918784 4776018 5143404 5572021 5878176 6368024 6857872 9552036 10286808 11144042 11756352 12736048 13715744 16716063 19104072 20573616 22288084 25472096 27431488 33432126 38208144 41147232 44576168 50944192 66864252 76416288 82294464 89152336 133728504 152832576 178304672 267457008 356609344 534914016 1069828032