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270527040 = 263557271
BaseRepresentation
bin10000000111111…
…110101001000000
3200212001012100000
4100013332221000
51023223331130
642502200000
76463304400
oct2007765100
9625035300
10270527040
11129783a73
1276723000
134407b994
1427d00800
1518b3b260
hex101fea40

270527040 has 504 divisors, whose sum is σ = 1138318272. Its totient is φ = 60963840.

The previous prime is 270527021. The next prime is 270527041. The reversal of 270527040 is 40725072.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 270526995 and 270527013.

It is not an unprimeable number, because it can be changed into a prime (270527041) 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, 3810205 + ... + 3810275.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568).

Almost surely, 2270527040 is an apocalyptic number.

270527040 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 270527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569159136).

270527040 is an abundant number, since it is smaller than the sum of its proper divisors (867791232).

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

270527040 is an equidigital number, since it uses as much as digits as its factorization.

270527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 270527040 is about 16447.7062230574. The cubic root of 270527040 is about 646.7506793224.

The spelling of 270527040 in words is "two hundred seventy million, five hundred twenty-seven thousand, forty".