Search a number
-
+
271037052 = 223211131719163
BaseRepresentation
bin10000001001111…
…011001001111100
3200220000002221100
4100021323021330
51023341141202
642521133100
76500530326
oct2011731174
9626002840
10271037052
11129aa2170
127692a190
13441c9b70
1427dd4616
1518bdc41c
hex1027b27c

271037052 has 288 divisors, whose sum is σ = 902603520. Its totient is φ = 67184640.

The previous prime is 271037051. The next prime is 271037057. The reversal of 271037052 is 250730172.

It is a super-2 number, since 2×2710370522 = 146922167113701408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271037051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1662723 + ... + 1662885.

It is an arithmetic number, because the mean of its divisors is an integer number (3134040).

Almost surely, 2271037052 is an apocalyptic number.

271037052 is a gapful number since it is divisible by the number (22) 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 271037052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451301760).

271037052 is an abundant number, since it is smaller than the sum of its proper divisors (631566468).

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

271037052 is a wasteful number, since it uses less digits than its factorization.

271037052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 271037052 is about 16463.2029690458. The cubic root of 271037052 is about 647.1568538035.

The spelling of 271037052 in words is "two hundred seventy-one million, thirty-seven thousand, fifty-two".