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66895620 = 223511791283
BaseRepresentation
bin1111111100101…
…1111100000100
311122212122112120
43333023330010
5114111124440
610345445540
71441413651
oct377137404
9148778476
1066895620
1134840740
121a4a08b0
1310b2280c
148c54c28
155d15dd0
hex3fcbf04

66895620 has 96 divisors (see below), whose sum is σ = 207083520. Its totient is φ = 15999360.

The previous prime is 66895603. The next prime is 66895627. The reversal of 66895620 is 2659866.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66895627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51499 + ... + 52781.

It is an arithmetic number, because the mean of its divisors is an integer number (2157120).

Almost surely, 266895620 is an apocalyptic number.

66895620 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 66895620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103541760).

66895620 is an abundant number, since it is smaller than the sum of its proper divisors (140187900).

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

66895620 is a wasteful number, since it uses less digits than its factorization.

66895620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 66895620 is about 8178.9742633169. The cubic root of 66895620 is about 405.9437828121.

The spelling of 66895620 in words is "sixty-six million, eight hundred ninety-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1283 1580 1738 2370 2566 2607 3476 3849 4345 4740 5132 5214 6415 7698 8690 10428 12830 13035 14113 15396 17380 19245 25660 26070 28226 38490 42339 52140 56452 70565 76980 84678 101357 141130 169356 202714 211695 282260 304071 405428 423390 506785 608142 846780 1013570 1114927 1216284 1520355 2027140 2229854 3040710 3344781 4459708 5574635 6081420 6689562 11149270 13379124 16723905 22298540 33447810 66895620