Search a number
-
+
427022260 = 225724773127
BaseRepresentation
bin11001011100111…
…101011110110100
31002202111222102021
4121130331132310
51333304203020
6110212322524
713403425600
oct3134753664
91082458367
10427022260
111aa052165
12bb013444
136a6130c2
14409da500
15277501aa
hex1973d7b4

427022260 has 144 divisors (see below), whose sum is σ = 1088446464. Its totient is φ = 140216832.

The previous prime is 427022249. The next prime is 427022261. The reversal of 427022260 is 62220724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427022261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3362317 + ... + 3362443.

It is an arithmetic number, because the mean of its divisors is an integer number (7558656).

Almost surely, 2427022260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427022260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544223232).

427022260 is an abundant number, since it is smaller than the sum of its proper divisors (661424204).

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

427022260 is a wasteful number, since it uses less digits than its factorization.

427022260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 427022260 is about 20664.5169312036. The cubic root of 427022260 is about 753.0379063672.

Adding to 427022260 its reverse (62220724), we get a palindrome (489242984).

The spelling of 427022260 in words is "four hundred twenty-seven million, twenty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 73 94 98 127 140 146 188 196 235 245 254 292 329 365 470 490 508 511 635 658 730 889 940 980 1022 1270 1316 1460 1645 1778 2044 2303 2540 2555 3290 3431 3556 3577 4445 4606 5110 5969 6223 6580 6862 7154 8890 9212 9271 10220 11515 11938 12446 13724 14308 17155 17780 17885 18542 23030 23876 24017 24892 29845 31115 34310 35770 37084 41783 46060 46355 48034 59690 62230 64897 68620 71540 83566 92710 96068 119380 120085 124460 129794 167132 168119 185420 208915 240170 259588 292481 324485 336238 417830 435737 454279 480340 584962 648970 672476 835660 840595 871474 908558 1169924 1297940 1462405 1681190 1742948 1817116 2178685 2271395 2924810 3050159 3362380 4357370 4542790 5849620 6100318 8714740 9085580 12200636 15250795 21351113 30501590 42702226 61003180 85404452 106755565 213511130 427022260