Search a number
-
+
271109696 = 26112132693
BaseRepresentation
bin10000001010001…
…100111001000000
3200220010210120212
4100022030321000
51023401002241
642522453252
76501252164
oct2012147100
9626123525
10271109696
1112a041800
1276964228
1344223c50
1428012ca4
1518c03beb
hex1028ce40

271109696 has 84 divisors (see below), whose sum is σ = 637060956. Its totient is φ = 113710080.

The previous prime is 271109669. The next prime is 271109701. The reversal of 271109696 is 696901172.

It can be written as a sum of positive squares in 2 ways, for example, as 72863296 + 198246400 = 8536^2 + 14080^2 .

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, 99326 + ... + 102018.

It is an arithmetic number, because the mean of its divisors is an integer number (7584059).

Almost surely, 2271109696 is an apocalyptic number.

271109696 is a gapful number since it is divisible by the number (26) 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 271109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318530478).

271109696 is an abundant number, since it is smaller than the sum of its proper divisors (365951260).

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

271109696 is a wasteful number, since it uses less digits than its factorization.

271109696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 271109696 is about 16465.4090747846. The cubic root of 271109696 is about 647.2146661489.

The spelling of 271109696 in words is "two hundred seventy-one million, one hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 242 286 352 416 484 572 704 832 968 1144 1573 1936 2288 2693 3146 3872 4576 5386 6292 7744 9152 10772 12584 21544 25168 29623 35009 43088 50336 59246 70018 86176 100672 118492 140036 172352 236984 280072 325853 385099 473968 560144 651706 770198 947936 1120288 1303412 1540396 1895872 2240576 2606824 3080792 4236089 5213648 6161584 8472178 10427296 12323168 16944356 20854592 24646336 33888712 67777424 135554848 271109696