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66717420 = 223572112063
BaseRepresentation
bin1111111010000…
…0011011101100
311122112121002120
43332200123230
5114034424140
610341552540
71440042300
oct376403354
9148477076
1066717420
1134729870
121a415750
1310a8c683
148c09d00
155ccd1d0
hex3fa06ec

66717420 has 144 divisors (see below), whose sum is σ = 237178368. Its totient is φ = 13856640.

The previous prime is 66717397. The next prime is 66717433. The reversal of 66717420 is 2471766.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31309 + ... + 33371.

It is an arithmetic number, because the mean of its divisors is an integer number (1647072).

Almost surely, 266717420 is an apocalyptic number.

66717420 is a gapful number since it is divisible by the number (60) 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 66717420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118589184).

66717420 is an abundant number, since it is smaller than the sum of its proper divisors (170460948).

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

66717420 is a wasteful number, since it uses less digits than its factorization.

66717420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 66717420 is about 8168.0732122086. The cubic root of 66717420 is about 405.5830042791.

The spelling of 66717420 in words is "sixty-six million, seven hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2063 2156 2310 2695 2940 3234 4126 4620 5390 6189 6468 8085 8252 10315 10780 12378 14441 16170 20630 22693 24756 28882 30945 32340 41260 43323 45386 57764 61890 68079 72205 86646 90772 101087 113465 123780 136158 144410 158851 173292 202174 216615 226930 272316 288820 303261 317702 340395 404348 433230 453860 476553 505435 606522 635404 680790 794255 866460 953106 1010870 1111957 1213044 1361580 1516305 1588510 1906212 2021740 2223914 2382765 3032610 3177020 3335871 4447828 4765530 5559785 6065220 6671742 9531060 11119570 13343484 16679355 22239140 33358710 66717420