Search a number
-
+
271050112 = 273183823
BaseRepresentation
bin10000001001111…
…110010110000000
3200220000202212001
4100021332112000
51023342100422
642521313344
76500613364
oct2011762600
9626022761
10271050112
1112a000a63
1276935854
1344202aa8
1427dd92a4
1518be1227
hex1027e580

271050112 has 64 divisors (see below), whose sum is σ = 564802560. Its totient is φ = 129415680.

The previous prime is 271050079. The next prime is 271050119. The reversal of 271050112 is 211050172.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 271050112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271050119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 328933 + ... + 329755.

It is an arithmetic number, because the mean of its divisors is an integer number (8825040).

Almost surely, 2271050112 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 271050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282401280).

271050112 is an abundant number, since it is smaller than the sum of its proper divisors (293752448).

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

271050112 is an equidigital number, since it uses as much as digits as its factorization.

271050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 271050112 is about 16463.5996064044. The cubic root of 271050112 is about 647.1672481176.

The spelling of 271050112 in words is "two hundred seventy-one million, fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 83 124 128 166 248 332 496 664 823 992 1328 1646 1984 2573 2656 3292 3968 5146 5312 6584 10292 10624 13168 20584 25513 26336 41168 51026 52672 68309 82336 102052 105344 136618 164672 204104 273236 329344 408208 546472 816416 1092944 1632832 2117579 2185888 3265664 4235158 4371776 8470316 8743552 16940632 33881264 67762528 135525056 271050112