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272210980 = 225234311373
BaseRepresentation
bin10000001110011…
…001110000100100
3200222012202021011
4100032121300210
51024141222410
643002232004
76513520006
oct2016316044
9628182234
10272210980
1112a724158
12771b5604
134451b2b2
142821c376
1518d7018a
hex10399c24

272210980 has 48 divisors (see below), whose sum is σ = 598316544. Its totient is φ = 103832960.

The previous prime is 272210977. The next prime is 272210989. The reversal of 272210980 is 89012272.

It is not an unprimeable number, because it can be changed into a prime (272210989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197574 + ... + 198946.

It is an arithmetic number, because the mean of its divisors is an integer number (12464928).

Almost surely, 2272210980 is an apocalyptic number.

272210980 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 272210980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299158272).

272210980 is an abundant number, since it is smaller than the sum of its proper divisors (326105564).

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

272210980 is a wasteful number, since it uses less digits than its factorization.

272210980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 272210980 is about 16498.8175333871. The cubic root of 272210980 is about 648.0898398276.

The spelling of 272210980 in words is "two hundred seventy-two million, two hundred ten thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 431 460 862 1373 1724 2155 2746 4310 5492 6865 8620 9913 13730 19826 27460 31579 39652 49565 63158 99130 126316 157895 198260 315790 591763 631580 1183526 2367052 2958815 5917630 11835260 13610549 27221098 54442196 68052745 136105490 272210980