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271986064 = 2472192312
BaseRepresentation
bin10000001101100…
…010110110010000
3200221210022201221
4100031202312100
51024112023224
642553334424
76511562200
oct2015426620
9627708657
10271986064
1112a590179
1277107414
134446cacc
14281a0400
1518d286e4
hex10362d90

271986064 has 135 divisors (see below), whose sum is σ = 668514411. Its totient is φ = 106868160.

The previous prime is 271986061. The next prime is 271986073. The reversal of 271986064 is 460689172.

The square root of 271986064 is 16492.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 271986064.

It is not an unprimeable number, because it can be changed into a prime (271986061) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 8773729 + ... + 8773759.

Almost surely, 2271986064 is an apocalyptic number.

271986064 is the 16492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271986064

271986064 is an abundant number, since it is smaller than the sum of its proper divisors (396528347).

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

271986064 is a wasteful number, since it uses less digits than its factorization.

271986064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 271986064 is about 647.9112945689.

The spelling of 271986064 in words is "two hundred seventy-one million, nine hundred eighty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 49 56 62 76 98 112 124 133 152 196 217 248 266 304 361 392 434 496 532 589 722 784 868 931 961 1064 1178 1444 1519 1736 1862 1922 2128 2356 2527 2888 3038 3472 3724 3844 4123 4712 5054 5776 6076 6727 7448 7688 8246 9424 10108 11191 12152 13454 14896 15376 16492 17689 18259 20216 22382 24304 26908 28861 32984 35378 36518 40432 44764 47089 53816 57722 65968 70756 73036 78337 89528 94178 107632 115444 127813 141512 146072 156674 179056 188356 230888 255626 283024 292144 313348 346921 376712 461776 511252 548359 626696 693842 753424 894691 1022504 1096718 1253392 1387684 1789382 2045008 2193436 2428447 2775368 3578764 4386872 4856894 5550736 7157528 8773744 9713788 14315056 16999129 19427576 33998258 38855152 67996516 135993032 271986064