Search a number
-
+
270825300 = 2232521731571
BaseRepresentation
bin10000001001000…
…111011101010100
3200212121100110200
4100021013131110
51023312402200
642512420500
76465656064
oct2011073524
9625540420
10270825300
11129968069
1276847730
1344154675
1427d7b3a4
1518b99800
hex10247754

270825300 has 216 divisors, whose sum is σ = 929440512. Its totient is φ = 65664000.

The previous prime is 270825293. The next prime is 270825307. The reversal of 270825300 is 3528072.

It is an interprime number because it is at equal distance from previous prime (270825293) and next prime (270825307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270825307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474015 + ... + 474585.

Almost surely, 2270825300 is an apocalyptic number.

270825300 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 270825300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464720256).

270825300 is an abundant number, since it is smaller than the sum of its proper divisors (658615212).

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

270825300 is a wasteful number, since it uses less digits than its factorization.

270825300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 270825300 is about 16456.7706431122. The cubic root of 270825300 is about 646.9882760390.

The spelling of 270825300 in words is "two hundred seventy million, eight hundred twenty-five thousand, three hundred".