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271389216 = 25372231811
BaseRepresentation
bin10000001011010…
…001001000100000
3200220200000000110
4100023101020200
51023433423331
642532451320
76503525130
oct2013211040
9626600013
10271389216
1112a21280a
1276a79b40
13442c1247
1428086ac0
1518c5b946
hex102d1220

271389216 has 96 divisors (see below), whose sum is σ = 818270208. Its totient is φ = 77149440.

The previous prime is 271389197. The next prime is 271389227. The reversal of 271389216 is 612983172.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2713892162 = 147304213122189312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148951 + ... + 150761.

It is an arithmetic number, because the mean of its divisors is an integer number (8523648).

Almost surely, 2271389216 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 271389216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409135104).

271389216 is an abundant number, since it is smaller than the sum of its proper divisors (546880992).

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

271389216 is a wasteful number, since it uses less digits than its factorization.

271389216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2046 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 271389216 is about 16473.8949857039. The cubic root of 271389216 is about 647.4370205537.

The spelling of 271389216 in words is "two hundred seventy-one million, three hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 223 224 336 446 669 672 892 1338 1561 1784 1811 2676 3122 3568 3622 4683 5352 5433 6244 7136 7244 9366 10704 10866 12488 12677 14488 18732 21408 21732 24976 25354 28976 37464 38031 43464 49952 50708 57952 74928 76062 86928 101416 149856 152124 173856 202832 304248 403853 405664 608496 807706 1211559 1216992 1615412 2423118 2826971 3230824 4846236 5653942 6461648 8480913 9692472 11307884 12923296 16961826 19384944 22615768 33923652 38769888 45231536 67847304 90463072 135694608 271389216