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66714560 = 2651121723
BaseRepresentation
bin1111111001111…
…1101111000000
311122112110011122
43332133233000
5114034331220
610341531412
71440031043
oct376375700
9148473148
1066714560
1134727700
121a413b68
1310a8b293
148c08c5a
155ccc425
hex3f9fbc0

66714560 has 84 divisors (see below), whose sum is σ = 174720504. Its totient is φ = 24245760.

The previous prime is 66714539. The next prime is 66714569. The reversal of 66714560 is 6541766.

It is a self number, because there is not a number n which added to its sum of digits gives 66714560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66714569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37859 + ... + 39581.

It is an arithmetic number, because the mean of its divisors is an integer number (2080006).

Almost surely, 266714560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360252).

66714560 is an abundant number, since it is smaller than the sum of its proper divisors (108005944).

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

66714560 is a wasteful number, since it uses less digits than its factorization.

66714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 66714560 is about 8167.8981384442. The cubic root of 66714560 is about 405.5772087714.

The spelling of 66714560 in words is "sixty-six million, seven hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1723 1760 1936 2420 3446 3520 3872 4840 6892 7744 8615 9680 13784 17230 18953 19360 27568 34460 37906 38720 55136 68920 75812 94765 110272 137840 151624 189530 208483 275680 303248 379060 416966 551360 606496 758120 833932 1042415 1212992 1516240 1667864 2084830 3032480 3335728 4169660 6064960 6671456 8339320 13342912 16678640 33357280 66714560