Search a number
-
+
272868420 = 2235111093793
BaseRepresentation
bin10000010000111…
…010010001000100
3201000110011002210
4100100322101010
51024323242140
643024303420
76522225516
oct2020722104
9630404083
10272868420
111300330a0
1277471b70
13446bb606
142834dbb6
1518e4ed80
hex1043a444

272868420 has 96 divisors (see below), whose sum is σ = 841357440. Its totient is φ = 65525760.

The previous prime is 272868413. The next prime is 272868439. The reversal of 272868420 is 24868272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70044 + ... + 73836.

It is an arithmetic number, because the mean of its divisors is an integer number (8764140).

Almost surely, 2272868420 is an apocalyptic number.

272868420 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 272868420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420678720).

272868420 is an abundant number, since it is smaller than the sum of its proper divisors (568489020).

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

272868420 is a wasteful number, since it uses less digits than its factorization.

272868420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 272868420 is about 16518.7293700212. The cubic root of 272868420 is about 648.6111727326.

The spelling of 272868420 in words is "two hundred seventy-two million, eight hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 2180 2398 3270 3597 3793 4796 5995 6540 7194 7586 11379 11990 14388 15172 17985 18965 22758 23980 35970 37930 41723 45516 56895 71940 75860 83446 113790 125169 166892 208615 227580 250338 413437 417230 500676 625845 826874 834460 1240311 1251690 1653748 2067185 2480622 2503380 4134370 4547807 4961244 6201555 8268740 9095614 12403110 13643421 18191228 22739035 24806220 27286842 45478070 54573684 68217105 90956140 136434210 272868420