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270141480 = 23345743277
BaseRepresentation
bin10000000110100…
…000100000101000
3200211022121110000
4100012200200220
51023124011410
642450023000
76460110330
oct2006404050
9624277400
10270141480
11129540324
1276577a60
1343c7533b
1427c400c0
1518ab1dc0
hex101a0828

270141480 has 320 divisors, whose sum is σ = 1065651840. Its totient is φ = 60092928.

The previous prime is 270141379. The next prime is 270141491. The reversal of 270141480 is 84141072.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 975102 + ... + 975378.

It is an arithmetic number, because the mean of its divisors is an integer number (3330162).

Almost surely, 2270141480 is an apocalyptic number.

270141480 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 270141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532825920).

270141480 is an abundant number, since it is smaller than the sum of its proper divisors (795510360).

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

270141480 is a wasteful number, since it uses less digits than its factorization.

270141480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 270141480 is about 16435.9812606367. The cubic root of 270141480 is about 646.4432796745.

The spelling of 270141480 in words is "two hundred seventy million, one hundred forty-one thousand, four hundred eighty".