Search a number
-
+
271351808 = 21572132
BaseRepresentation
bin10000001011001…
…000000000000000
3200220121002200222
4100023020000000
51023431224213
642532002212
76503311100
oct2013100000
9626532628
10271351808
1112a1976a2
1276a60368
13442aa200
1428077200
1518c50808
hex102c8000

271351808 has 144 divisors (see below), whose sum is σ = 683595585. Its totient is φ = 107347968.

The previous prime is 271351793. The next prime is 271351813. The reversal of 271351808 is 808153172.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 232013824 + 39337984 = 15232^2 + 6272^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11648.

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (2713).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20873210 + ... + 20873222.

Almost surely, 2271351808 is an apocalyptic number.

271351808 is a gapful number since it is divisible by the number (28) 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 271351808

271351808 is an abundant number, since it is smaller than the sum of its proper divisors (412243777).

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

271351808 is an frugal number, since it uses more digits than its factorization.

271351808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 271351808 is about 16472.7595745218. The cubic root of 271351808 is about 647.4072718440.

The spelling of 271351808 in words is "two hundred seventy-one million, three hundred fifty-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 256 338 364 392 416 448 512 637 676 728 784 832 896 1024 1183 1274 1352 1456 1568 1664 1792 2048 2366 2548 2704 2912 3136 3328 3584 4096 4732 5096 5408 5824 6272 6656 7168 8192 8281 9464 10192 10816 11648 12544 13312 14336 16384 16562 18928 20384 21632 23296 25088 26624 28672 32768 33124 37856 40768 43264 46592 50176 53248 57344 66248 75712 81536 86528 93184 100352 106496 114688 132496 151424 163072 173056 186368 200704 212992 229376 264992 302848 326144 346112 372736 401408 425984 529984 605696 652288 692224 745472 802816 1059968 1211392 1304576 1384448 1490944 1605632 2119936 2422784 2609152 2768896 2981888 4239872 4845568 5218304 5537792 8479744 9691136 10436608 16959488 19382272 20873216 33918976 38764544 67837952 135675904 271351808