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66999296 = 210713719
BaseRepresentation
bin1111111110010…
…1010000000000
311200001220202102
43333211100000
5114122434141
610352005532
71442325140
oct377452000
9150056672
1066999296
1134901621
121a5308a8
1310b5aa70
148c80920
155d3699b
hex3fe5400

66999296 has 88 divisors (see below), whose sum is σ = 165070080. Its totient is φ = 26468352.

The previous prime is 66999293. The next prime is 66999313. The reversal of 66999296 is 69299966.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66999293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92825 + ... + 93543.

Almost surely, 266999296 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 66999296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82535040).

66999296 is an abundant number, since it is smaller than the sum of its proper divisors (98070784).

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

66999296 is a wasteful number, since it uses less digits than its factorization.

66999296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 741 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 56.

The square root of 66999296 is about 8185.3097681151. The cubic root of 66999296 is about 406.1533874874.

The spelling of 66999296 in words is "sixty-six million, nine hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 719 728 832 896 1024 1438 1456 1664 1792 2876 2912 3328 3584 5033 5752 5824 6656 7168 9347 10066 11504 11648 13312 18694 20132 23008 23296 37388 40264 46016 46592 65429 74776 80528 92032 93184 130858 149552 161056 184064 261716 299104 322112 368128 523432 598208 644224 736256 1046864 1196416 1288448 2093728 2392832 2576896 4187456 4785664 5153792 8374912 9571328 16749824 33499648 66999296