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66969870 = 23511219971
BaseRepresentation
bin1111111101111…
…0000100001110
311200000102101120
43333132010032
5114121013440
610351221410
71442143302
oct377360416
9150012346
1066969870
1134891500
121a517866
1310b4a556
148c73d02
155d2cdd0
hex3fde10e

66969870 has 96 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 15364800.

The previous prime is 66969869. The next prime is 66969871. The reversal of 66969870 is 7896966.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66969869) and next prime (66969871).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66969871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68485 + ... + 69455.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 266969870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66969870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

66969870 is an abundant number, since it is smaller than the sum of its proper divisors (119187570).

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

66969870 is a wasteful number, since it uses less digits than its factorization.

66969870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 66969870 is about 8183.5120822297. The cubic root of 66969870 is about 406.0939181078.

The spelling of 66969870 in words is "sixty-six million, nine hundred sixty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 121 165 190 209 242 285 330 363 418 570 605 627 726 971 1045 1210 1254 1815 1942 2090 2299 2913 3135 3630 4598 4855 5826 6270 6897 9710 10681 11495 13794 14565 18449 21362 22990 29130 32043 34485 36898 53405 55347 64086 68970 92245 106810 110694 117491 160215 184490 202939 234982 276735 320430 352473 405878 553470 587455 608817 704946 1014695 1174910 1217634 1762365 2029390 2232329 3044085 3524730 4464658 6088170 6696987 11161645 13393974 22323290 33484935 66969870