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272055520 = 25511331467
BaseRepresentation
bin10000001101110…
…011110011100000
3200221220212000101
4100031303303200
51024121234040
642555032144
76512301532
oct2015636340
9627825011
10272055520
1112a628380
127713b654
13444955c9
14281bb852
1518d3e09a
hex10373ce0

272055520 has 96 divisors (see below), whose sum is σ = 704785536. Its totient is φ = 98419200.

The previous prime is 272055503. The next prime is 272055527. The reversal of 272055520 is 25550272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272055527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582327 + ... + 582793.

It is an arithmetic number, because the mean of its divisors is an integer number (7341516).

Almost surely, 2272055520 is an apocalyptic number.

272055520 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 272055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352392768).

272055520 is an abundant number, since it is smaller than the sum of its proper divisors (432730016).

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

272055520 is a wasteful number, since it uses less digits than its factorization.

272055520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 272055520 is about 16494.1056138246. The cubic root of 272055520 is about 647.9664413856.

The spelling of 272055520 in words is "two hundred seventy-two million, fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 331 352 440 467 662 880 934 1324 1655 1760 1868 2335 2648 3310 3641 3736 4670 5137 5296 6620 7282 7472 9340 10274 10592 13240 14564 14944 18205 18680 20548 25685 26480 29128 36410 37360 41096 51370 52960 58256 72820 74720 82192 102740 116512 145640 154577 164384 205480 291280 309154 410960 582560 618308 772885 821920 1236616 1545770 1700347 2473232 3091540 3400694 4946464 6183080 6801388 8501735 12366160 13602776 17003470 24732320 27205552 34006940 54411104 68013880 136027760 272055520