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66969990 = 2345292851
BaseRepresentation
bin1111111101111…
…0000110000110
311200000102120000
43333132012012
5114121014430
610351222130
71442143533
oct377360606
9150012500
1066969990
11348915aa
121a517946
1310b4a619
148c73d8a
155d2ce60
hex3fde186

66969990 has 80 divisors (see below), whose sum is σ = 186349680. Its totient is φ = 17236800.

The previous prime is 66969989. The next prime is 66970039. The reversal of 66969990 is 9996966.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22065 + ... + 24915.

It is an arithmetic number, because the mean of its divisors is an integer number (2329371).

Almost surely, 266969990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66969990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93174840).

66969990 is an abundant number, since it is smaller than the sum of its proper divisors (119379690).

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

66969990 is a wasteful number, since it uses less digits than its factorization.

66969990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 66969990 is about 8183.5194140419. The cubic root of 66969990 is about 406.0941606609.

The spelling of 66969990 in words is "sixty-six million, nine hundred sixty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 2851 3915 4698 5702 7830 8553 11745 14255 17106 23490 25659 28510 42765 51318 76977 82679 85530 128295 153954 165358 230931 248037 256590 384885 413395 461862 496074 744111 769770 826790 1154655 1240185 1488222 2232333 2309310 2480370 3720555 4464666 6696999 7441110 11161665 13393998 22323330 33484995 66969990