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66031420 = 22572137173
BaseRepresentation
bin1111101111100…
…0111100111100
311121020202002011
43323320330330
5113401001140
610315141004
71431154300
oct373707474
9147222064
1066031420
1134300424
121a144764
13108ac360
148aabd00
155be4cea
hex3ef8f3c

66031420 has 144 divisors (see below), whose sum is σ = 178573248. Its totient is φ = 20321280.

The previous prime is 66031411. The next prime is 66031423. The reversal of 66031420 is 2413066.

It is a junction number, because it is equal to n+sod(n) for n = 66031391 and 66031400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66031423) 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, 904504 + ... + 904576.

It is an arithmetic number, because the mean of its divisors is an integer number (1240092).

Almost surely, 266031420 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 66031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89286624).

66031420 is an abundant number, since it is smaller than the sum of its proper divisors (112541828).

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

66031420 is a wasteful number, since it uses less digits than its factorization.

66031420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 66031420 is about 8125.9719418664. The cubic root of 66031420 is about 404.1881210609.

Adding to 66031420 its reverse (2413066), we get a palindrome (68444486).

The spelling of 66031420 in words is "sixty-six million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 71 73 91 98 130 140 142 146 182 196 245 260 284 292 355 364 365 455 490 497 511 637 710 730 910 923 949 980 994 1022 1274 1420 1460 1820 1846 1898 1988 2044 2485 2548 2555 3185 3479 3577 3692 3796 4615 4745 4970 5110 5183 6370 6461 6643 6958 7154 9230 9490 9940 10220 10366 12740 12922 13286 13916 14308 17395 17885 18460 18980 20732 25844 25915 26572 32305 33215 34790 35770 36281 45227 46501 51830 64610 66430 67379 69580 71540 72562 90454 93002 103660 129220 132860 134758 145124 180908 181405 186004 226135 232505 253967 269516 336895 362810 452270 465010 471653 507934 673790 725620 904540 930020 943306 1015868 1269835 1347580 1886612 2358265 2539670 3301571 4716530 5079340 6603142 9433060 13206284 16507855 33015710 66031420