Search a number
-
+
270733320 = 2333511131753
BaseRepresentation
bin10000001000110…
…001000000001000
3200212102200022000
4100020301000020
51023301431240
642510431000
76465123654
oct2010610010
9625380260
10270733320
11129904a50
1276802460
1344121840
1427d55a64
1518b7c430
hex10231008

270733320 has 256 divisors, whose sum is σ = 1060819200. Its totient is φ = 60549120.

The previous prime is 270733319. The next prime is 270733327. The reversal of 270733320 is 23337072.

It is a happy number.

270733320 is a `hidden beast` number, since 270 + 73 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270733327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153564 + ... + 155316.

It is an arithmetic number, because the mean of its divisors is an integer number (4143825).

Almost surely, 2270733320 is an apocalyptic number.

270733320 is a gapful number since it is divisible by the number (20) 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 270733320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530409600).

270733320 is an abundant number, since it is smaller than the sum of its proper divisors (790085880).

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

270733320 is a wasteful number, since it uses less digits than its factorization.

270733320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 270733320 is about 16453.9758113351. The cubic root of 270733320 is about 646.9150225185.

The spelling of 270733320 in words is "two hundred seventy million, seven hundred thirty-three thousand, three hundred twenty".