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66995940 = 223511831223
BaseRepresentation
bin1111111110010…
…0011011100100
311200001202011010
43333210123210
5114122332230
610351542220
71442312304
oct377443344
9150052133
1066995940
11348aa050
121a52a970
1310b5938b
148c7d604
155d359b0
hex3fe46e4

66995940 has 96 divisors (see below), whose sum is σ = 207277056. Its totient is φ = 16032640.

The previous prime is 66995939. The next prime is 66995953. The reversal of 66995940 is 4959966.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 66995940.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54169 + ... + 55391.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136).

Almost surely, 266995940 is an apocalyptic number.

66995940 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 66995940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528).

66995940 is an abundant number, since it is smaller than the sum of its proper divisors (140281116).

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

66995940 is a wasteful number, since it uses less digits than its factorization.

66995940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 66995940 is about 8185.1047641432. The cubic root of 66995940 is about 406.1466059558.

The spelling of 66995940 in words is "sixty-six million, nine hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1223 1245 1660 1826 2446 2490 2739 3652 3669 4565 4892 4980 5478 6115 7338 9130 10956 12230 13453 13695 14676 18260 18345 24460 26906 27390 36690 40359 53812 54780 67265 73380 80718 101509 134530 161436 201795 203018 269060 304527 403590 406036 507545 609054 807180 1015090 1116599 1218108 1522635 2030180 2233198 3045270 3349797 4466396 5582995 6090540 6699594 11165990 13399188 16748985 22331980 33497970 66995940