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271316920 = 23572138427
BaseRepresentation
bin10000001010111…
…111011110111000
3200220112022211211
4100022333132320
51023424120140
642531132504
76503104300
oct2012773670
9626468754
10271316920
1112a173466
1276a44134
1344297374
1428068600
1518c452ea
hex102bf7b8

271316920 has 48 divisors (see below), whose sum is σ = 710135640. Its totient is φ = 93022272.

The previous prime is 271316887. The next prime is 271316921. The reversal of 271316920 is 29613172.

It is a super-2 number, since 2×2713169202 = 147225742156572800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271316921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67254 + ... + 71173.

Almost surely, 2271316920 is an apocalyptic number.

271316920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271316920 is an abundant number, since it is smaller than the sum of its proper divisors (438818720).

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

271316920 is a wasteful number, since it uses less digits than its factorization.

271316920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138452 (or 138441 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 271316920 is about 16471.7005800858. The cubic root of 271316920 is about 647.3795247002.

The spelling of 271316920 in words is "two hundred seventy-one million, three hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 138427 276854 553708 692135 968989 1107416 1384270 1937978 2768540 3875956 4844945 5537080 6782923 7751912 9689890 13565846 19379780 27131692 33914615 38759560 54263384 67829230 135658460 271316920