Search a number
-
+
427800560 = 245114171167
BaseRepresentation
bin11001011111111…
…011011111110000
31002210222112001012
4121133323133300
51334004104220
6110241130052
713413146645
oct3137733760
91083875035
10427800560
111aa533990
12bb329928
136a826435
1440b5ddcc
1527855ac5
hex197fb7f0

427800560 has 160 divisors (see below), whose sum is σ = 1133927424. Its totient is φ = 148736000.

The previous prime is 427800557. The next prime is 427800587. The reversal of 427800560 is 65008724.

It is a congruent number.

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, 2561597 + ... + 2561763.

Almost surely, 2427800560 is an apocalyptic number.

427800560 is a gapful number since it is divisible by the number (40) 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 427800560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566963712).

427800560 is an abundant number, since it is smaller than the sum of its proper divisors (706126864).

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

427800560 is a wasteful number, since it uses less digits than its factorization.

427800560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 427800560 is about 20683.3401557872. The cubic root of 427800560 is about 753.4951297522.

The spelling of 427800560 in words is "four hundred twenty-seven million, eight hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 71 80 82 88 110 142 164 167 176 205 220 284 328 334 355 410 440 451 568 656 668 710 781 820 835 880 902 1136 1336 1420 1562 1640 1670 1804 1837 2255 2672 2840 2911 3124 3280 3340 3608 3674 3905 4510 5680 5822 6248 6680 6847 7216 7348 7810 9020 9185 11644 11857 12496 13360 13694 14555 14696 15620 18040 18370 23288 23714 27388 29110 29392 31240 32021 34235 36080 36740 46576 47428 54776 58220 59285 62480 64042 68470 73480 75317 94856 109552 116440 118570 128084 130427 136940 146960 150634 160105 189712 232880 237140 256168 260854 273880 301268 320210 376585 474280 486137 512336 521708 547760 602536 640420 652135 753170 948560 972274 1043416 1205072 1280840 1304270 1506340 1944548 2086832 2430685 2561680 2608540 3012680 3889096 4861370 5217080 5347507 6025360 7778192 9722740 10434160 10695014 19445480 21390028 26737535 38890960 42780056 53475070 85560112 106950140 213900280 427800560