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66714256 = 2471737947
BaseRepresentation
bin1111111001111…
…1101010010000
311122112102202101
43332133222100
5114034324011
610341530144
71440030130
oct376375220
9148472671
1066714256
1134727454
121a413954
1310a8b0bb
148c08ac0
155ccc2c1
hex3f9fa90

66714256 has 80 divisors (see below), whose sum is σ = 160811136. Its totient is φ = 26155008.

The previous prime is 66714253. The next prime is 66714269. The reversal of 66714256 is 65241766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (66714251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69975 + ... + 70921.

Almost surely, 266714256 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 66714256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80405568).

66714256 is an abundant number, since it is smaller than the sum of its proper divisors (94096880).

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

66714256 is a wasteful number, since it uses less digits than its factorization.

66714256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 66714256 is about 8167.8795289843. The cubic root of 66714256 is about 405.5765927357.

The spelling of 66714256 in words is "sixty-six million, seven hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 56 68 74 112 119 136 148 238 259 272 296 476 518 592 629 947 952 1036 1258 1894 1904 2072 2516 3788 4144 4403 5032 6629 7576 8806 10064 13258 15152 16099 17612 26516 32198 35039 35224 53032 64396 70078 70448 106064 112693 128792 140156 225386 245273 257584 280312 450772 490546 560624 595663 901544 981092 1191326 1803088 1962184 2382652 3924368 4169641 4765304 8339282 9530608 16678564 33357128 66714256