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1063000416 = 25331547653
BaseRepresentation
bin111111010111000…
…001100101100000
32202002020000102210
4333113001211200
54134112003131
6253251442120
735225232402
oct7727014540
92662200383
101063000416
114a6043a45
12257bb6340
1313c2c7a3a
14a126ab72
15634c8146
hex3f5c1960

1063000416 has 96 divisors (see below), whose sum is σ = 2890073088. Its totient is φ = 341752320.

The previous prime is 1063000409. The next prime is 1063000459. The reversal of 1063000416 is 6140003601.

1063000416 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 (96).

It is a super-2 number, since 2×10630004162 = 2259939768832346112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1063000392 and 1063000401.

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, 1627546 + ... + 1628198.

It is an arithmetic number, because the mean of its divisors is an integer number (30104928).

Almost surely, 21063000416 is an apocalyptic number.

1063000416 is a gapful number since it is divisible by the number (16) 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 1063000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445036544).

1063000416 is an abundant number, since it is smaller than the sum of its proper divisors (1827072672).

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

1063000416 is a wasteful number, since it uses less digits than its factorization.

1063000416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1063000416 is about 32603.6871534494. The cubic root of 1063000416 is about 1020.5739484159.

The spelling of 1063000416 in words is "one billion, sixty-three million, four hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 547 653 744 992 1094 1306 1488 1641 1959 2188 2612 2976 3282 3918 4376 5224 6564 7836 8752 10448 13128 15672 16957 17504 20243 20896 26256 31344 33914 40486 50871 52512 60729 62688 67828 80972 101742 121458 135656 161944 203484 242916 271312 323888 357191 406968 485832 542624 647776 714382 813936 971664 1071573 1428764 1627872 1943328 2143146 2857528 4286292 5715056 8572584 11072921 11430112 17145168 22145842 33218763 34290336 44291684 66437526 88583368 132875052 177166736 265750104 354333472 531500208 1063000416