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66710440 = 23529131439
BaseRepresentation
bin1111111001111…
…0101110101000
311122112020112001
43332132232220
5114034213230
610341500344
71440013036
oct376365650
9148466461
1066710440
11347245a5
121a4116b4
1310a89444
148c07556
155ccb0ca
hex3f9eba8

66710440 has 64 divisors (see below), whose sum is σ = 156816000. Its totient is φ = 25509120.

The previous prime is 66710407. The next prime is 66710447. The reversal of 66710440 is 4401766.

It is a junction number, because it is equal to n+sod(n) for n = 66710399 and 66710408.

It is not an unprimeable number, because it can be changed into a prime (66710447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151741 + ... + 152179.

It is an arithmetic number, because the mean of its divisors is an integer number (2450250).

Almost surely, 266710440 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 66710440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78408000).

66710440 is an abundant number, since it is smaller than the sum of its proper divisors (90105560).

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

66710440 is a wasteful number, since it uses less digits than its factorization.

66710440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 66710440 is about 8167.6459276832. The cubic root of 66710440 is about 405.5688597069.

The spelling of 66710440 in words is "sixty-six million, seven hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 131 145 232 262 290 439 524 580 655 878 1048 1160 1310 1756 2195 2620 3512 3799 4390 5240 7598 8780 12731 15196 17560 18995 25462 30392 37990 50924 57509 63655 75980 101848 115018 127310 151960 230036 254620 287545 460072 509240 575090 1150180 1667761 2300360 3335522 6671044 8338805 13342088 16677610 33355220 66710440