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1063008072 = 233274334871
BaseRepresentation
bin111111010111000…
…011011101001000
32202002020101221100
4333113003131020
54134112224242
6253251541400
735225263620
oct7727033510
92662211840
101063008072
114a6049775
12257bba860
1313c2cb379
14a126d880
15634ca54c
hex3f5c3748

1063008072 has 96 divisors (see below), whose sum is σ = 3298538880. Its totient is φ = 302952960.

The previous prime is 1063008059. The next prime is 1063008077. The reversal of 1063008072 is 2708003601.

It is a super-2 number, since 2×10630080722 = 2259972322274314368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1063008077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215797 + ... + 220667.

It is an arithmetic number, because the mean of its divisors is an integer number (34359780).

Almost surely, 21063008072 is an apocalyptic number.

1063008072 is a gapful number since it is divisible by the number (12) 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 1063008072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649269440).

1063008072 is an abundant number, since it is smaller than the sum of its proper divisors (2235530808).

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

1063008072 is a wasteful number, since it uses less digits than its factorization.

1063008072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1063008072 is about 32603.8045632714. The cubic root of 1063008072 is about 1020.5763985546.

The spelling of 1063008072 in words is "one billion, sixty-three million, eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 433 504 866 1299 1732 2598 3031 3464 3897 4871 5196 6062 7794 9093 9742 10392 12124 14613 15588 18186 19484 24248 27279 29226 31176 34097 36372 38968 43839 54558 58452 68194 72744 87678 102291 109116 116904 136388 175356 204582 218232 272776 306873 350712 409164 613746 818328 1227492 2109143 2454984 4218286 6327429 8436572 12654858 14764001 16873144 18982287 25309716 29528002 37964574 44292003 50619432 59056004 75929148 88584006 118112008 132876009 151858296 177168012 265752018 354336024 531504036 1063008072