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71006256 = 24323713327
BaseRepresentation
bin1000011101101…
…11100000110000
311221121111021100
410032313200300
5121134200011
611013524400
71521354216
oct416674060
9157544240
1071006256
1137099062
121b943700
1311931849
149604cb6
156378d56
hex43b7830

71006256 has 60 divisors (see below), whose sum is σ = 204104992. Its totient is φ = 23027328.

The previous prime is 71006191. The next prime is 71006261. The reversal of 71006256 is 65260017.

71006256 = T163 + T164 + ... + T754.

It is a super-2 number, since 2×710062562 = 10083776782275072, 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, 1336 + ... + 11991.

Almost surely, 271006256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71006256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102052496).

71006256 is an abundant number, since it is smaller than the sum of its proper divisors (133098736).

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

71006256 is a wasteful number, since it uses less digits than its factorization.

71006256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378 (or 13369 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71006256 is about 8426.5209903020. The cubic root of 71006256 is about 414.0939365362.

The spelling of 71006256 in words is "seventy-one million, six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 13327 26654 39981 53308 79962 106616 119943 159924 213232 239886 319848 479772 493099 639696 959544 986198 1479297 1919088 1972396 2958594 3944792 4437891 5917188 7889584 8875782 11834376 17751564 23668752 35503128 71006256