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1714969728 = 27327320393
BaseRepresentation
bin110011000111000…
…0101110010000000
311102112000111012100
41212032011302000
512003013012403
6442101430400
760333000513
oct14616056200
94375014170
101714969728
1180006815a
123ba40b400
132143bb1b4
14123aa0d7a
15a085e2a3
hex66385c80

1714969728 has 96 divisors (see below), whose sum is σ = 5002852140. Its totient is φ = 563798016.

The previous prime is 1714969691. The next prime is 1714969757. The reversal of 1714969728 is 8279694171.

It can be written as a sum of positive squares in 2 ways, for example, as 1709987904 + 4981824 = 41352^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×17149697282 = 5882242335912787968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73900 + ... + 94292.

Almost surely, 21714969728 is an apocalyptic number.

1714969728 is a gapful number since it is divisible by the number (18) 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 1714969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501426070).

1714969728 is an abundant number, since it is smaller than the sum of its proper divisors (3287882412).

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

1714969728 is a wasteful number, since it uses less digits than its factorization.

1714969728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20486 (or 20471 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 1714969728 is about 41412.1929870902. The cubic root of 1714969728 is about 1196.9761198578.

The spelling of 1714969728 in words is "one billion, seven hundred fourteen million, nine hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1152 1168 1314 1752 2336 2628 3504 4672 5256 7008 9344 10512 14016 20393 21024 28032 40786 42048 61179 81572 84096 122358 163144 183537 244716 326288 367074 489432 652576 734148 978864 1305152 1468296 1488689 1957728 2610304 2936592 2977378 3915456 4466067 5873184 5954756 7830912 8932134 11746368 11909512 13398201 17864268 23492736 23819024 26796402 35728536 47638048 53592804 71457072 95276096 107185608 142914144 190552192 214371216 285828288 428742432 571656576 857484864 1714969728