Search a number
-
+
271901052 = 223289113751
BaseRepresentation
bin10000001101001…
…110000101111100
3200221122000010100
4100031032011330
51024101313202
642551441100
76511056303
oct2015160574
9627560110
10271901052
1112a532315
1277086190
13444401c7
142817b43a
1518d0d41c
hex1034e17c

271901052 has 72 divisors (see below), whose sum is σ = 702112320. Its totient is φ = 88704000.

The previous prime is 271901041. The next prime is 271901059. The reversal of 271901052 is 250109172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271901059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361677 + ... + 362427.

It is an arithmetic number, because the mean of its divisors is an integer number (9751560).

Almost surely, 2271901052 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 271901052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351056160).

271901052 is an abundant number, since it is smaller than the sum of its proper divisors (430211268).

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

271901052 is a wasteful number, since it uses less digits than its factorization.

271901052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 271901052 is about 16489.4224277262. The cubic root of 271901052 is about 647.8437837882.

The spelling of 271901052 in words is "two hundred seventy-one million, nine hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 113 178 226 267 339 356 452 534 678 751 801 1017 1068 1356 1502 1602 2034 2253 3004 3204 4068 4506 6759 9012 10057 13518 20114 27036 30171 40228 60342 66839 84863 90513 120684 133678 169726 181026 200517 254589 267356 339452 362052 401034 509178 601551 763767 802068 1018356 1203102 1527534 2406204 3055068 7552807 15105614 22658421 30211228 45316842 67975263 90633684 135950526 271901052