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272481020 = 225718110753
BaseRepresentation
bin10000001111011…
…011101011111100
3200222201110200122
4100033123223330
51024223343040
643012114112
76516023210
oct2017335374
9628643618
10272481020
1112a899029
1277305938
13445b4196
142828c940
1518dc51b5
hex103dbafc

272481020 has 48 divisors (see below), whose sum is σ = 657628608. Its totient is φ = 92897280.

The previous prime is 272481019. The next prime is 272481047. The reversal of 272481020 is 20184272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19964 + ... + 30716.

It is an arithmetic number, because the mean of its divisors is an integer number (13700596).

Almost surely, 2272481020 is an apocalyptic number.

272481020 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 272481020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328814304).

272481020 is an abundant number, since it is smaller than the sum of its proper divisors (385147588).

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

272481020 is a wasteful number, since it uses less digits than its factorization.

272481020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 272481020 is about 16506.9991215848. Note that the first 3 decimals coincide. The cubic root of 272481020 is about 648.3040760311.

The spelling of 272481020 in words is "two hundred seventy-two million, four hundred eighty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 10753 12670 21506 25340 43012 53765 75271 107530 150542 215060 301084 376355 752710 1505420 1946293 3892586 7785172 9731465 13624051 19462930 27248102 38925860 54496204 68120255 136240510 272481020