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1061284512 = 25373199761
BaseRepresentation
bin111111010000011…
…110101010100000
32201221222211122210
4333100132222200
54133142101022
6253151002120
735204524641
oct7720365240
92657884583
101061284512
114a5081842
12257509340
1313bb46a02
14a0d416c8
1563289a0c
hex3f41eaa0

1061284512 has 96 divisors (see below), whose sum is σ = 2841955200. Its totient is φ = 346705920.

The previous prime is 1061284457. The next prime is 1061284513. The reversal of 1061284512 is 2154821601.

1061284512 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 2×10612845122 = 2252649630822156288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1061284512.

It is not an unprimeable number, because it can be changed into a prime (1061284513) 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, 1394212 + ... + 1394972.

It is an arithmetic number, because the mean of its divisors is an integer number (29603700).

Almost surely, 21061284512 is an apocalyptic number.

1061284512 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 1061284512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420977600).

1061284512 is an abundant number, since it is smaller than the sum of its proper divisors (1780670688).

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

1061284512 is a wasteful number, since it uses less digits than its factorization.

1061284512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1061284512 is about 32577.3619558122. The cubic root of 1061284512 is about 1020.0245130595.

The spelling of 1061284512 in words is "one billion, sixty-one million, two hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 199 219 292 398 438 584 597 761 796 876 1168 1194 1522 1592 1752 2283 2336 2388 3044 3184 3504 4566 4776 6088 6368 7008 9132 9552 12176 14527 18264 19104 24352 29054 36528 43581 55553 58108 73056 87162 111106 116216 151439 166659 174324 222212 232432 302878 333318 348648 444424 454317 464864 605756 666636 697296 888848 908634 1211512 1333272 1394592 1777696 1817268 2423024 2666544 3634536 4846048 5333088 7269072 11055047 14538144 22110094 33165141 44220188 66330282 88440376 132660564 176880752 265321128 353761504 530642256 1061284512