Search a number
-
+
272318480 = 24572127547
BaseRepresentation
bin10000001110110…
…100000000010000
3200222102012201122
4100032310000100
51024203142410
643004421412
76514445300
oct2016640020
9628365648
10272318480
1112a7979a5
1277247868
13445581c5
1428249600
1518d91e55
hex103b4010

272318480 has 120 divisors (see below), whose sum is σ = 743666688. Its totient is φ = 92461824.

The previous prime is 272318471. The next prime is 272318491. The reversal of 272318480 is 84813272.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 272318480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497567 + ... + 498113.

Almost surely, 2272318480 is an apocalyptic number.

272318480 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 272318480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371833344).

272318480 is an abundant number, since it is smaller than the sum of its proper divisors (471348208).

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

272318480 is a wasteful number, since it uses less digits than its factorization.

272318480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 272318480 is about 16502.0750210390. The cubic root of 272318480 is about 648.1751419079.

The spelling of 272318480 in words is "two hundred seventy-two million, three hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 127 140 196 245 254 280 392 490 508 547 560 635 784 889 980 1016 1094 1270 1778 1960 2032 2188 2540 2735 3556 3829 3920 4376 4445 5080 5470 6223 7112 7658 8752 8890 10160 10940 12446 14224 15316 17780 19145 21880 24892 26803 30632 31115 35560 38290 43760 49784 53606 61264 62230 69469 71120 76580 99568 107212 124460 134015 138938 153160 214424 248920 268030 277876 306320 347345 428848 486283 497840 536060 555752 694690 972566 1072120 1111504 1389380 1945132 2144240 2431415 2778760 3403981 3890264 4862830 5557520 6807962 7780528 9725660 13615924 17019905 19451320 27231848 34039810 38902640 54463696 68079620 136159240 272318480