Search a number
-
+
270065664 = 213341137
BaseRepresentation
bin10000000110001…
…110000000000000
3200211011202110000
4100012032000000
51023114100124
642444240000
76456343311
oct2006160000
9624152400
10270065664
11129499370
1276540000
1343c4998b
1427c20608
1518a996c9
hex1018e000

270065664 has 280 divisors, whose sum is σ = 903948408. Its totient is φ = 79626240.

The previous prime is 270065659. The next prime is 270065681. The reversal of 270065664 is 466560072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7299054 + ... + 7299090.

Almost surely, 2270065664 is an apocalyptic number.

270065664 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 270065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451974204).

270065664 is an abundant number, since it is smaller than the sum of its proper divisors (633882744).

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

270065664 is an equidigital number, since it uses as much as digits as its factorization.

270065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 270065664 is about 16433.6746955755. The cubic root of 270065664 is about 646.3827986142.

The spelling of 270065664 in words is "two hundred seventy million, sixty-five thousand, six hundred sixty-four".