Search a number
-
+
64546240 = 2651121667
BaseRepresentation
bin1111011000111…
…0010111000000
311111110021210111
43312032113000
5113010434430
610223241104
71412430313
oct366162700
9144407714
1064546240
1133486600
1219749194
13104ac355
14880297a
1559eec2a
hex3d8e5c0

64546240 has 84 divisors (see below), whose sum is σ = 169045128. Its totient is φ = 23457280.

The previous prime is 64546231. The next prime is 64546253. The reversal of 64546240 is 4264546.

64546240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37887 + ... + 39553.

It is an arithmetic number, because the mean of its divisors is an integer number (2012442).

Almost surely, 264546240 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 64546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84522564).

64546240 is an abundant number, since it is smaller than the sum of its proper divisors (104498888).

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

64546240 is a wasteful number, since it uses less digits than its factorization.

64546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 64546240 is about 8034.0674629978. The cubic root of 64546240 is about 401.1347776549.

The spelling of 64546240 in words is "sixty-four million, five hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1667 1760 1936 2420 3334 3520 3872 4840 6668 7744 8335 9680 13336 16670 18337 19360 26672 33340 36674 38720 53344 66680 73348 91685 106688 133360 146696 183370 201707 266720 293392 366740 403414 533440 586784 733480 806828 1008535 1173568 1466960 1613656 2017070 2933920 3227312 4034140 5867840 6454624 8068280 12909248 16136560 32273120 64546240