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66143840 = 255773809
BaseRepresentation
bin1111110001010…
…0011001100000
311121110110021212
43330110121200
5113413100330
610321405252
71432133120
oct374243140
9147413255
1066143840
1134377934
121a199828
131091b589
148adac80
155c18295
hex3f14660

66143840 has 96 divisors (see below), whose sum is σ = 181258560. Its totient is φ = 22339584.

The previous prime is 66143839. The next prime is 66143843. The reversal of 66143840 is 4834166.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 66143797 and 66143806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66143843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81356 + ... + 82164.

It is an arithmetic number, because the mean of its divisors is an integer number (1888110).

Almost surely, 266143840 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 66143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90629280).

66143840 is an abundant number, since it is smaller than the sum of its proper divisors (115114720).

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

66143840 is a wasteful number, since it uses less digits than its factorization.

66143840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 66143840 is about 8132.8863265141. The cubic root of 66143840 is about 404.4173708436.

The spelling of 66143840 in words is "sixty-six million, one hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 809 1022 1120 1168 1460 1618 2044 2336 2555 2920 3236 4045 4088 5110 5663 5840 6472 8090 8176 10220 11326 11680 12944 16180 16352 20440 22652 25888 28315 32360 40880 45304 56630 59057 64720 81760 90608 113260 118114 129440 181216 226520 236228 295285 413399 453040 472456 590570 826798 906080 944912 1181140 1653596 1889824 2066995 2362280 3307192 4133990 4724560 6614384 8267980 9449120 13228768 16535960 33071920 66143840