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66814740 = 22335123731
BaseRepresentation
bin1111111011100…
…0001100010100
311122201112121000
43332320030110
5114101032430
610344023300
71440626106
oct376701424
9148645530
1066814740
11347959a3
121a461b30
1310ac4a65
148c33576
155cebe60
hex3fb8314

66814740 has 48 divisors (see below), whose sum is σ = 207869760. Its totient is φ = 17817120.

The previous prime is 66814739. The next prime is 66814757. The reversal of 66814740 is 4741866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66814695 and 66814704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61326 + ... + 62405.

It is an arithmetic number, because the mean of its divisors is an integer number (4330620).

Almost surely, 266814740 is an apocalyptic number.

66814740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66814740 is an abundant number, since it is smaller than the sum of its proper divisors (141055020).

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

66814740 is a wasteful number, since it uses less digits than its factorization.

66814740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123749 (or 123741 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 66814740 is about 8174.0283826275. The cubic root of 66814740 is about 405.7801150256.

The spelling of 66814740 in words is "sixty-six million, eight hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 123731 247462 371193 494924 618655 742386 1113579 1237310 1484772 1855965 2227158 2474620 3340737 3711930 4454316 5567895 6681474 7423860 11135790 13362948 16703685 22271580 33407370 66814740