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270036864 = 27322959137
BaseRepresentation
bin10000000110000…
…110111110000000
3200211010021221100
4100012012332000
51023112134424
642443454400
76456163326
oct2006067600
9624107840
10270036864
11129479769
1276527400
1343c39836
1427c13d16
1518a90dc9
hex10186f80

270036864 has 192 divisors, whose sum is σ = 823446000. Its totient is φ = 84811776.

The previous prime is 270036853. The next prime is 270036869. The reversal of 270036864 is 468630072.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270036869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971004 + ... + 1971140.

Almost surely, 2270036864 is an apocalyptic number.

270036864 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 270036864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411723000).

270036864 is an abundant number, since it is smaller than the sum of its proper divisors (553409136).

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

270036864 is a wasteful number, since it uses less digits than its factorization.

270036864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 270036864 is about 16432.7984226668. The cubic root of 270036864 is about 646.3598208859.

The spelling of 270036864 in words is "two hundred seventy million, thirty-six thousand, eight hundred sixty-four".