Search a number
-
+
427866240 = 2735239689
BaseRepresentation
bin11001100000001…
…011100010000000
31002211002212010210
4121200023202000
51334013204430
6110242354120
713413542304
oct3140134200
91084085123
10427866240
111aa57926a
12bb35b940
136a84a2b9
1440b79d04
152786a2b0
hex1980b880

427866240 has 128 divisors (see below), whose sum is σ = 1423267200. Its totient is φ = 109125632.

The previous prime is 427866233. The next prime is 427866259. The reversal of 427866240 is 42668724.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39316 + ... + 49004.

It is an arithmetic number, because the mean of its divisors is an integer number (11119275).

Almost surely, 2427866240 is an apocalyptic number.

427866240 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 427866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711633600).

427866240 is an abundant number, since it is smaller than the sum of its proper divisors (995400960).

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

427866240 is a wasteful number, since it uses less digits than its factorization.

427866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 427866240 is about 20684.9278461396. The cubic root of 427866240 is about 753.5336890188.

The spelling of 427866240 in words is "four hundred twenty-seven million, eight hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 7360 8832 9689 11040 14720 19378 22080 29067 38756 44160 48445 58134 77512 96890 116268 145335 155024 193780 222847 232536 290670 310048 387560 445694 465072 581340 620096 668541 775120 891388 930144 1114235 1162680 1240192 1337082 1550240 1782776 1860288 2228470 2325360 2674164 3100480 3342705 3565552 3720576 4456940 4650720 5348328 6200960 6685410 7131104 8913880 9301440 10696656 13370820 14262208 17827760 18602880 21393312 26741640 28524416 35655520 42786624 53483280 71311040 85573248 106966560 142622080 213933120 427866240