Search a number
-
+
64201068 = 223237157307
BaseRepresentation
bin1111010011101…
…0000101101100
311110210202022100
43310322011230
5112413413233
610212015100
71406462061
oct364720554
9143722270
1064201068
1133270238
1219601490
13103bb1c9
148752c68
155982813
hex3d3a16c

64201068 has 72 divisors (see below), whose sum is σ = 168280112. Its totient is φ = 20621952.

The previous prime is 64201051. The next prime is 64201069. The reversal of 64201068 is 86010246.

64201068 is a `hidden beast` number, since 642 + 0 + 10 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64201069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208971 + ... + 209277.

Almost surely, 264201068 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 64201068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84140056).

64201068 is an abundant number, since it is smaller than the sum of its proper divisors (104079044).

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

64201068 is a wasteful number, since it uses less digits than its factorization.

64201068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 64201068 is about 8012.5568952738. The cubic root of 64201068 is about 400.4184537552.

The spelling of 64201068 in words is "sixty-four million, two hundred one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 157 222 307 314 333 444 471 614 628 666 921 942 1228 1332 1413 1842 1884 2763 2826 3684 5526 5652 5809 11052 11359 11618 17427 22718 23236 34077 34854 45436 48199 52281 68154 69708 96398 102231 104562 136308 144597 192796 204462 209124 289194 408924 433791 578388 867582 1735164 1783363 3566726 5350089 7133452 10700178 16050267 21400356 32100534 64201068