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64140966 = 23217263797
BaseRepresentation
bin1111010010101…
…1011010100110
311110200200212100
43310223122212
5112410002331
610210432530
71406121621
oct364533246
9143620770
1064140966
113322a06a
1219592746
1310399a46
148738db8
15596eae6
hex3d2b6a6

64140966 has 48 divisors (see below), whose sum is σ = 147891744. Its totient is φ = 20020992.

The previous prime is 64140931. The next prime is 64141003. The reversal of 64140966 is 66904146.

64140966 is a `hidden beast` number, since 641 + 4 + 0 + 9 + 6 + 6 = 666.

It is a super-2 number, since 2×641409662 = 8228127038826312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64140966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80080 + ... + 80876.

It is an arithmetic number, because the mean of its divisors is an integer number (3081078).

Almost surely, 264140966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64140966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73945872).

64140966 is an abundant number, since it is smaller than the sum of its proper divisors (83750778).

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

64140966 is a wasteful number, since it uses less digits than its factorization.

64140966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64140966 is about 8008.8055289163. The cubic root of 64140966 is about 400.2934638115.

The spelling of 64140966 in words is "sixty-four million, one hundred forty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 263 306 526 789 797 1578 1594 2367 2391 4471 4734 4782 7173 8942 13413 13549 14346 26826 27098 40239 40647 80478 81294 121941 209611 243882 419222 628833 1257666 1886499 3563387 3772998 7126774 10690161 21380322 32070483 64140966