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66635940 = 22357158657
BaseRepresentation
bin1111111000110…
…0100010100100
311122101110022210
43332030202210
5114024322230
610340123420
71436252610
oct376144244
9148343283
1066635940
1134683628
121a396570
1310a61567
148bc8340
155cb3eb0
hex3f8c8a4

66635940 has 48 divisors (see below), whose sum is σ = 213236352. Its totient is φ = 15230976.

The previous prime is 66635923. The next prime is 66635963. The reversal of 66635940 is 4953666.

It is a happy number.

66635940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78909 + ... + 79748.

It is an arithmetic number, because the mean of its divisors is an integer number (4442424).

Almost surely, 266635940 is an apocalyptic number.

66635940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66635940 is an abundant number, since it is smaller than the sum of its proper divisors (146600412).

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

66635940 is a wasteful number, since it uses less digits than its factorization.

66635940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158676 (or 158674 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 66635940 is about 8163.0839760473. The cubic root of 66635940 is about 405.4178282007.

The spelling of 66635940 in words is "sixty-six million, six hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 158657 317314 475971 634628 793285 951942 1110599 1586570 1903884 2221198 2379855 3173140 3331797 4442396 4759710 5552995 6663594 9519420 11105990 13327188 16658985 22211980 33317970 66635940