Search a number
-
+
64390968 = 233217311697
BaseRepresentation
bin1111010110100…
…0011100111000
311111011101210200
43311220130320
5112441002333
610220042200
71411212525
oct365503470
9144141720
1064390968
113338a984
1219693360
1310456785
1487a214c
1559bdc13
hex3d68738

64390968 has 96 divisors (see below), whose sum is σ = 190719360. Its totient is φ = 19537920.

The previous prime is 64390957. The next prime is 64390973. The reversal of 64390968 is 86909346.

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, 37096 + ... + 38792.

It is an arithmetic number, because the mean of its divisors is an integer number (1986660).

Almost surely, 264390968 is an apocalyptic number.

64390968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64390968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95359680).

64390968 is an abundant number, since it is smaller than the sum of its proper divisors (126328392).

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

64390968 is a wasteful number, since it uses less digits than its factorization.

64390968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 64390968 is about 8024.3982951995. The cubic root of 64390968 is about 400.8128636793.

The spelling of 64390968 in words is "sixty-four million, three hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 1697 2108 2232 3162 3394 4216 4743 5091 6324 6788 9486 10182 12648 13576 15273 18972 20364 28849 30546 37944 40728 52607 57698 61092 86547 105214 115396 122184 157821 173094 210428 230792 259641 315642 346188 420856 473463 519282 631284 692376 894319 946926 1038564 1262568 1788638 1893852 2077128 2682957 3577276 3787704 5365914 7154552 8048871 10731828 16097742 21463656 32195484 64390968