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66668940 = 22335139497
BaseRepresentation
bin1111111001010…
…0100110001100
311122110010121000
43332110212030
5114031401230
610340540300
71436451042
oct376244614
9148403530
1066668940
11346a63a8
121a3b1690
1310a735a0
148bd6392
155cbdb60
hex3f9498c

66668940 has 96 divisors (see below), whose sum is σ = 223392960. Its totient is φ = 16409088.

The previous prime is 66668939. The next prime is 66668947. The reversal of 66668940 is 4986666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66668947) 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, 2272 + ... + 11768.

It is an arithmetic number, because the mean of its divisors is an integer number (2327010).

Almost surely, 266668940 is an apocalyptic number.

66668940 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 66668940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111696480).

66668940 is an abundant number, since it is smaller than the sum of its proper divisors (156724020).

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

66668940 is a wasteful number, since it uses less digits than its factorization.

66668940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9528 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66668940 is about 8165.1050207575. The cubic root of 66668940 is about 405.4847419434.

The spelling of 66668940 in words is "sixty-six million, six hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 9497 18994 28491 37988 47485 56982 85473 94970 113964 123461 142455 170946 189940 246922 256419 284910 341892 370383 427365 493844 512838 569820 617305 740766 854730 1025676 1111149 1234610 1282095 1481532 1709460 1851915 2222298 2469220 2564190 3333447 3703830 4444596 5128380 5555745 6666894 7407660 11111490 13333788 16667235 22222980 33334470 66668940