[go: up one dir, main page]

Search a number
-
+
67432820 = 22572136779
BaseRepresentation
bin1000000010011…
…11000101110100
311200212221102212
410001033011310
5114230322240
610405152552
71446112100
oct401170564
9150787385
1067432820
1135078304
121a6bb758
1310c801a0
148d54900
155dc0165
hex404f174

67432820 has 144 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 20756736.

The previous prime is 67432793. The next prime is 67432831. The reversal of 67432820 is 2823476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853541 + ... + 853619.

It is an arithmetic number, because the mean of its divisors is an integer number (1266160).

Almost surely, 267432820 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 67432820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

67432820 is an abundant number, since it is smaller than the sum of its proper divisors (114894220).

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

67432820 is a wasteful number, since it uses less digits than its factorization.

67432820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 67432820 is about 8211.7489002039. The cubic root of 67432820 is about 407.0275201888.

The spelling of 67432820 in words is "sixty-seven million, four hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 67 70 79 91 98 130 134 140 158 182 196 245 260 268 316 335 364 395 455 469 490 553 637 670 790 871 910 938 980 1027 1106 1274 1340 1580 1742 1820 1876 2054 2212 2345 2548 2765 3185 3283 3484 3871 4108 4355 4690 5135 5293 5530 6097 6370 6566 7189 7742 8710 9380 10270 10586 11060 12194 12740 13132 14378 15484 16415 17420 19355 20540 21172 24388 26465 28756 30485 32830 35945 37051 38710 42679 50323 52930 60970 65660 68809 71890 74102 77420 85358 100646 105860 121940 137618 143780 148204 170716 185255 201292 213395 251615 259357 275236 344045 370510 426790 481663 503230 518714 688090 741020 853580 963326 1006460 1037428 1296785 1376180 1926652 2408315 2593570 3371641 4816630 5187140 6743282 9633260 13486564 16858205 33716410 67432820