Search a number
-
+
66740024 = 231331127163
BaseRepresentation
bin1111111010010…
…1111100111000
311122120202002202
43332211330320
5114041140044
610342245332
71440165221
oct376457470
9148522082
1066740024
113474484a
121a426848
1310a99a50
148c14248
155cd4c4e
hex3fa5f38

66740024 has 64 divisors (see below), whose sum is σ = 141066240. Its totient is φ = 29393280.

The previous prime is 66740021. The next prime is 66740041. The reversal of 66740024 is 42004766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66740021) 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, 409367 + ... + 409529.

It is an arithmetic number, because the mean of its divisors is an integer number (2204160).

Almost surely, 266740024 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 66740024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70533120).

66740024 is an abundant number, since it is smaller than the sum of its proper divisors (74326216).

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

66740024 is a wasteful number, since it uses less digits than its factorization.

66740024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 66740024 is about 8169.4567750861. The cubic root of 66740024 is about 405.6288032277.

The spelling of 66740024 in words is "sixty-six million, seven hundred forty thousand, twenty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 127 163 248 254 326 403 508 652 806 1016 1304 1612 1651 2119 3224 3302 3937 4238 5053 6604 7874 8476 10106 13208 15748 16952 20212 20701 31496 40424 41402 51181 65689 82804 102362 131378 165608 204724 262756 269113 409448 525512 538226 641731 1076452 1283462 2152904 2566924 5133848 8342503 16685006 33370012 66740024