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66407970 = 23529372063
BaseRepresentation
bin1111110101010…
…0111000100010
311121221212121110
43331110320202
5114000023340
610331204150
71434313146
oct375247042
9147855543
1066407970
1134538322
121a2a6656
13109b1875
148b69226
155c6b680
hex3f54e22

66407970 has 64 divisors (see below), whose sum is σ = 169413120. Its totient is φ = 16627968.

The previous prime is 66407963. The next prime is 66407989. The reversal of 66407970 is 7970466.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31159 + ... + 33221.

It is an arithmetic number, because the mean of its divisors is an integer number (2647080).

Almost surely, 266407970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66407970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84706560).

66407970 is an abundant number, since it is smaller than the sum of its proper divisors (103005150).

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

66407970 is a wasteful number, since it uses less digits than its factorization.

66407970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 66407970 is about 8149.1085402024. The cubic root of 66407970 is about 404.9549713694.

The spelling of 66407970 in words is "sixty-six million, four hundred seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 290 370 435 555 870 1073 1110 2063 2146 3219 4126 5365 6189 6438 10315 10730 12378 16095 20630 30945 32190 59827 61890 76331 119654 152662 179481 228993 299135 358962 381655 457986 598270 763310 897405 1144965 1794810 2213599 2289930 4427198 6640797 11067995 13281594 22135990 33203985 66407970