Search a number
-
+
271027134 = 2357219599
BaseRepresentation
bin10000001001111…
…000101110111110
3200212222121100000
4100021320232332
51023340332014
642521015130
76500456400
oct2011705676
9625877300
10271027134
11129a95774
12769244a6
13441c54b1
1427dd0b70
1518bd9509
hex10278bbe

271027134 has 144 divisors (see below), whose sum is σ = 746928000. Its totient is φ = 73238256.

The previous prime is 271027123. The next prime is 271027157. The reversal of 271027134 is 431720172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 271027098 and 271027107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 452167 + ... + 452765.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2271027134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271027134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

271027134 is an abundant number, since it is smaller than the sum of its proper divisors (475900866).

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

271027134 is a wasteful number, since it uses less digits than its factorization.

271027134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 271027134 is about 16462.9017490842. The cubic root of 271027134 is about 647.1489599505.

The spelling of 271027134 in words is "two hundred seventy-one million, twenty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 81 98 114 126 133 147 162 171 189 243 266 294 342 378 399 441 486 513 567 599 798 882 931 1026 1134 1197 1198 1323 1539 1701 1797 1862 2394 2646 2793 3078 3402 3591 3594 3969 4193 4617 5391 5586 7182 7938 8379 8386 9234 10773 10782 11381 11907 12579 16173 16758 21546 22762 23814 25137 25158 29351 32319 32346 34143 37737 48519 50274 58702 64638 68286 75411 75474 79667 88053 97038 102429 113211 145557 150822 159334 176106 204858 226233 226422 239001 264159 291114 307287 339633 452466 478002 528318 557669 614574 679266 717003 792477 921861 1018899 1115338 1434006 1584954 1673007 1843722 2037798 2151009 2377431 2765583 3346014 4302018 4754862 5019021 5531166 6453027 7132293 10038042 12906054 14264586 15057063 19359081 30114126 38718162 45171189 90342378 135513567 271027134