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271144068 = 223134383487
BaseRepresentation
bin10000001010010…
…101010010000100
3200220012112201220
4100022111102010
51023403102233
642523320340
76501454326
oct2012252204
9626175656
10271144068
1112a065608
12769800b0
13442367a0
1428021616
1518c0deb3
hex10295484

271144068 has 96 divisors (see below), whose sum is σ = 707030016. Its totient is φ = 80341632.

The previous prime is 271144061. The next prime is 271144087. The reversal of 271144068 is 860441172.

It is a super-2 number, since 2×2711440682 = 147038211223177248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (271144061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556521 + ... + 557007.

It is an arithmetic number, because the mean of its divisors is an integer number (7364896).

Almost surely, 2271144068 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 271144068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353515008).

271144068 is an abundant number, since it is smaller than the sum of its proper divisors (435885948).

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

271144068 is a wasteful number, since it uses less digits than its factorization.

271144068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 271144068 is about 16466.4528056288. The cubic root of 271144068 is about 647.2420168521.

The spelling of 271144068 in words is "two hundred seventy-one million, one hundred forty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 83 86 129 156 166 172 249 258 332 487 498 516 559 974 996 1079 1118 1461 1677 1948 2158 2236 2922 3237 3354 3569 4316 5844 6331 6474 6708 7138 10707 12662 12948 14276 18993 20941 21414 25324 37986 40421 41882 42828 46397 62823 75972 80842 83764 92794 121263 125646 139191 161684 185588 242526 251292 272233 278382 485052 525473 544466 556764 816699 1050946 1088932 1576419 1633398 1738103 2101892 3152838 3266796 3476206 5214309 6305676 6952412 10428618 20857236 22595339 45190678 67786017 90381356 135572034 271144068