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66706980 = 22351723847
BaseRepresentation
bin1111111001110…
…1111000100100
311122112001202220
43332131320210
5114034110410
610341432340
71436666664
oct376357044
9148461686
1066706980
1134721a3a
121a40b6b0
1310a879b2
148c061a4
155cca070
hex3f9de24

66706980 has 72 divisors (see below), whose sum is σ = 198464448. Its totient is φ = 16737792.

The previous prime is 66706979. The next prime is 66706987. The reversal of 66706980 is 8960766.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (66706987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15417 + ... + 19263.

Almost surely, 266706980 is an apocalyptic number.

66706980 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 66706980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99232224).

66706980 is an abundant number, since it is smaller than the sum of its proper divisors (131757468).

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

66706980 is a wasteful number, since it uses less digits than its factorization.

66706980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 66706980 is about 8167.4341136002. The cubic root of 66706980 is about 405.5618478483.

The spelling of 66706980 in words is "sixty-six million, seven hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 3847 4335 5780 7694 8670 11541 15388 17340 19235 23082 38470 46164 57705 65399 76940 115410 130798 196197 230820 261596 326995 392394 653990 784788 980985 1111783 1307980 1961970 2223566 3335349 3923940 4447132 5558915 6670698 11117830 13341396 16676745 22235660 33353490 66706980