Search a number
-
+
270466680 = 233511613359
BaseRepresentation
bin10000000111101…
…111111001111000
3200211221010112110
4100013233321320
51023214413210
642501012320
76462633411
oct2007577170
9624833473
10270466680
11129742690
12766b40a0
134405a373
1427cc6808
1518b28420
hex101efe78

270466680 has 128 divisors (see below), whose sum is σ = 899942400. Its totient is φ = 64473600.

The previous prime is 270466667. The next prime is 270466697. The reversal of 270466680 is 86664072.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 78841 + ... + 82199.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2270466680 is an apocalyptic number.

270466680 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 270466680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

270466680 is an abundant number, since it is smaller than the sum of its proper divisors (629475720).

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

270466680 is a wasteful number, since it uses less digits than its factorization.

270466680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 270466680 is about 16445.8712143808. The cubic root of 270466680 is about 646.7025747352.

The spelling of 270466680 in words is "two hundred seventy million, four hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 915 1220 1320 1342 1464 1830 2013 2440 2684 3355 3359 3660 4026 5368 6710 6718 7320 8052 10065 10077 13420 13436 16104 16795 20130 20154 26840 26872 33590 36949 40260 40308 50385 67180 73898 80520 80616 100770 110847 134360 147796 184745 201540 204899 221694 295592 369490 403080 409798 443388 554235 614697 738980 819596 886776 1024495 1108470 1229394 1477960 1639192 2048990 2216940 2253889 2458788 3073485 4097980 4433880 4507778 4917576 6146970 6761667 8195960 9015556 11269445 12293940 13523334 18031112 22538890 24587880 27046668 33808335 45077780 54093336 67616670 90155560 135233340 270466680