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272942460 = 22355771113
BaseRepresentation
bin10000010001001…
…100010101111100
3201000120220200000
4100101030111330
51024333124320
643030034300
76522654420
oct2021142574
9630526600
10272942460
1113008378a
12774a8990
134471621b
142836cb80
1518e66c90
hex1044c57c

272942460 has 288 divisors, whose sum is σ = 1003871232. Its totient is φ = 60963840.

The previous prime is 272942413. The next prime is 272942471. The reversal of 272942460 is 64249272.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2415364 + ... + 2415476.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2272942460 is an apocalyptic number.

272942460 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 272942460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

272942460 is an abundant number, since it is smaller than the sum of its proper divisors (730928772).

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

272942460 is a wasteful number, since it uses less digits than its factorization.

272942460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

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

The square root of 272942460 is about 16520.9703104872. The cubic root of 272942460 is about 648.6698320531.

The spelling of 272942460 in words is "two hundred seventy-two million, nine hundred forty-two thousand, four hundred sixty".