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271053664 = 2572415021
BaseRepresentation
bin10000001001111…
…111001101100000
3200220000221201121
4100021333031200
51023342204124
642521342024
76500626630
oct2011771540
9626027647
10271053664
1112a0036a2
1276937914
13442045ab
1427dda6c0
1518be22e4
hex1027f360

271053664 has 48 divisors (see below), whose sum is σ = 612523296. Its totient is φ = 115660800.

The previous prime is 271053637. The next prime is 271053743. The reversal of 271053664 is 466350172.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51474 + ... + 56494.

It is an arithmetic number, because the mean of its divisors is an integer number (12760902).

Almost surely, 2271053664 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 271053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306261648).

271053664 is an abundant number, since it is smaller than the sum of its proper divisors (341469632).

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

271053664 is a wasteful number, since it uses less digits than its factorization.

271053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 271053664 is about 16463.7074803946. The cubic root of 271053664 is about 647.1700750586.

The spelling of 271053664 in words is "two hundred seventy-one million, fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 241 482 964 1687 1928 3374 3856 5021 6748 7712 10042 13496 20084 26992 35147 40168 53984 70294 80336 140588 160672 281176 562352 1124704 1210061 2420122 4840244 8470427 9680488 16940854 19360976 33881708 38721952 67763416 135526832 271053664