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66681090 = 2335735281
BaseRepresentation
bin1111111001011…
…1100100000010
311122110202021000
43332113210002
5114032243330
610341112430
71436531340
oct376274402
9148422230
1066681090
1134704543
121a3b8716
1310a78c88
148bda990
155cc2560
hex3f97902

66681090 has 64 divisors (see below), whose sum is σ = 203224320. Its totient is φ = 15240960.

The previous prime is 66681079. The next prime is 66681091. The reversal of 66681090 is 9018666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66681091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15751 + ... + 19530.

It is an arithmetic number, because the mean of its divisors is an integer number (3175380).

Almost surely, 266681090 is an apocalyptic number.

66681090 is an abundant number, since it is smaller than the sum of its proper divisors (136543230).

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

66681090 is a wasteful number, since it uses less digits than its factorization.

66681090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35304 (or 35298 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 66681090 is about 8165.8490066863. The cubic root of 66681090 is about 405.5093728052.

The spelling of 66681090 in words is "sixty-six million, six hundred eighty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 35281 70562 105843 176405 211686 246967 317529 352810 493934 529215 635058 740901 952587 1058430 1234835 1481802 1587645 1905174 2222703 2469670 3175290 3704505 4445406 4762935 6668109 7409010 9525870 11113515 13336218 22227030 33340545 66681090