Search a number
-
+
271110144 = 212322063
BaseRepresentation
bin10000001010001…
…101000000000000
3200220010211012110
4100022031000000
51023401011034
642522455320
76501253404
oct2012150000
9626124173
10271110144
1112a042078
1276964540
1344224206
1428013104
1518c03de9
hex1028d000

271110144 has 52 divisors (see below), whose sum is σ = 722904896. Its totient is φ = 90365952.

The previous prime is 271110083. The next prime is 271110173. The reversal of 271110144 is 441011172.

It is a self number, because there is not a number n which added to its sum of digits gives 271110144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1257 + ... + 23319.

Almost surely, 2271110144 is an apocalyptic number.

271110144 is a gapful number since it is divisible by the number (24) 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 271110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361452448).

271110144 is an abundant number, since it is smaller than the sum of its proper divisors (451794752).

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

271110144 is an equidigital number, since it uses as much as digits as its factorization.

271110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22090 (or 22068 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 271110144 is about 16465.4226790569. The cubic root of 271110144 is about 647.2150226492.

The spelling of 271110144 in words is "two hundred seventy-one million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 22063 44126 66189 88252 132378 176504 264756 353008 529512 706016 1059024 1412032 2118048 2824064 4236096 5648128 8472192 11296256 16944384 22592512 33888768 45185024 67777536 90370048 135555072 271110144