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272483040 = 2535567673
BaseRepresentation
bin10000001111011…
…100001011100000
3200222201120110110
4100033130023200
51024223424130
643012131320
76516032124
oct2017341340
9628646413
10272483040
1112a89a5a5
1277306b40
13445b508b
142828d584
1518dc5ab0
hex103dc2e0

272483040 has 48 divisors (see below), whose sum is σ = 858323088. Its totient is φ = 72662016.

The previous prime is 272483039. The next prime is 272483053. The reversal of 272483040 is 40384272.

272483040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 272482989 and 272483007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283357 + ... + 284316.

It is an arithmetic number, because the mean of its divisors is an integer number (17881731).

Almost surely, 2272483040 is an apocalyptic number.

272483040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272483040 is an abundant number, since it is smaller than the sum of its proper divisors (585840048).

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

272483040 is a wasteful number, since it uses less digits than its factorization.

272483040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567691 (or 567683 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 272483040 is about 16507.0603076381. The cubic root of 272483040 is about 648.3056780644.

The spelling of 272483040 in words is "two hundred seventy-two million, four hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 567673 1135346 1703019 2270692 2838365 3406038 4541384 5676730 6812076 8515095 9082768 11353460 13624152 17030190 18165536 22706920 27248304 34060380 45413840 54496608 68120760 90827680 136241520 272483040