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256071696 = 243231631423
BaseRepresentation
bin11110100001101…
…01100000010000
3122211211210022220
433100311200100
51011023243241
641224301040
76226400466
oct1720654020
9584753286
10256071696
11121600501
1271911780
134108a21a
142601a836
1517733166
hexf435810

256071696 has 80 divisors (see below), whose sum is σ = 695003136. Its totient is φ = 81088128.

The previous prime is 256071677. The next prime is 256071707. The reversal of 256071696 is 696170652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179241 + ... + 180663.

Almost surely, 2256071696 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 256071696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347501568).

256071696 is an abundant number, since it is smaller than the sum of its proper divisors (438931440).

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

256071696 is a wasteful number, since it uses less digits than its factorization.

256071696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 256071696 is about 16002.2403431520. The cubic root of 256071696 is about 635.0196914554.

The spelling of 256071696 in words is "two hundred fifty-six million, seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 163 184 276 326 368 489 552 652 978 1104 1304 1423 1956 2608 2846 3749 3912 4269 5692 7498 7824 8538 11247 11384 14996 17076 22494 22768 29992 32729 34152 44988 59984 65458 68304 89976 98187 130916 179952 196374 231949 261832 392748 463898 523664 695847 785496 927796 1391694 1570992 1855592 2783388 3711184 5334827 5566776 10669654 11133552 16004481 21339308 32008962 42678616 64017924 85357232 128035848 256071696