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271072680 = 23353172869
BaseRepresentation
bin10000001010000…
…011110110101000
3200220001220210220
4100022003312220
51023343311210
642522010040
76501036234
oct2012036650
9626056726
10271072680
1112a016a0a
1276946920
1344210148
14280035c4
1518be7c70
hex10283da8

271072680 has 64 divisors (see below), whose sum is σ = 839462400. Its totient is φ = 69953280.

The previous prime is 271072673. The next prime is 271072691. The reversal of 271072680 is 86270172.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32715 + ... + 40154.

It is an arithmetic number, because the mean of its divisors is an integer number (13116600).

Almost surely, 2271072680 is an apocalyptic number.

271072680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271072680 is an abundant number, since it is smaller than the sum of its proper divisors (568389720).

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

271072680 is a wasteful number, since it uses less digits than its factorization.

271072680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72914 (or 72910 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 271072680 is about 16464.2849829563. The cubic root of 271072680 is about 647.1852089601.

The spelling of 271072680 in words is "two hundred seventy-one million, seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 72869 145738 218607 291476 364345 437214 582952 728690 874428 1093035 1457380 1748856 2186070 2258939 2914760 4372140 4517878 6776817 8744280 9035756 11294695 13553634 18071512 22589390 27107268 33884085 45178780 54214536 67768170 90357560 135536340 271072680