Search a number
-
+
271083340 = 225115367347
BaseRepresentation
bin10000001010000…
…110011101001100
3200220002110102201
4100022012131030
51023344131330
642522131244
76501112303
oct2012063514
9626073381
10271083340
1112a023a20
1276950b24
1344214c58
142800743a
1518beaeca
hex1028674c

271083340 has 96 divisors (see below), whose sum is σ = 644039424. Its totient is φ = 94997760.

The previous prime is 271083311. The next prime is 271083391. The reversal of 271083340 is 43380172.

It is a junction number, because it is equal to n+sod(n) for n = 271083299 and 271083308.

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 31 ways as a sum of consecutive naturals, for example, 781047 + ... + 781393.

It is an arithmetic number, because the mean of its divisors is an integer number (6708744).

Almost surely, 2271083340 is an apocalyptic number.

271083340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271083340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322019712).

271083340 is an abundant number, since it is smaller than the sum of its proper divisors (372956084).

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

271083340 is a wasteful number, since it uses less digits than its factorization.

271083340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 271083340 is about 16464.6087108076. The cubic root of 271083340 is about 647.1936924216.

The spelling of 271083340 in words is "two hundred seventy-one million, eighty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 67 106 110 134 212 220 265 268 335 347 530 583 670 694 737 1060 1166 1340 1388 1474 1735 2332 2915 2948 3470 3551 3685 3817 5830 6940 7102 7370 7634 11660 14204 14740 15268 17755 18391 19085 23249 35510 36782 38170 39061 46498 71020 73564 76340 78122 91955 92996 116245 156244 183910 195305 202301 232490 255739 367820 390610 404602 464980 511478 781220 809204 1011505 1022956 1232197 1278695 2023010 2464394 2557390 4046020 4928788 5114780 6160985 12321970 13554167 24643940 27108334 54216668 67770835 135541670 271083340