Search a number
-
+
64360725 = 352111317353
BaseRepresentation
bin1111010110000…
…1000100010101
311111002212022120
43311201010111
5112434020400
610215250153
71411025412
oct365410425
9144085276
1064360725
113336a190
1219679959
1310445a90
148795109
1559b4ca0
hex3d61115

64360725 has 96 divisors (see below), whose sum is σ = 132741504. Its totient is φ = 27033600.

The previous prime is 64360721. The next prime is 64360741. The reversal of 64360725 is 52706346.

It is not a de Polignac number, because 64360725 - 22 = 64360721 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64360721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182149 + ... + 182501.

It is an arithmetic number, because the mean of its divisors is an integer number (1382724).

Almost surely, 264360725 is an apocalyptic number.

64360725 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64360725 is an abundant number, since it is smaller than the sum of its proper divisors (68380779).

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

64360725 is a wasteful number, since it uses less digits than its factorization.

64360725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 64360725 is about 8022.5136335191. The cubic root of 64360725 is about 400.7501029015.

The spelling of 64360725 in words is "sixty-four million, three hundred sixty thousand, seven hundred twenty-five".

Divisors: 1 3 5 11 13 15 17 25 33 39 51 55 65 75 85 143 165 187 195 221 255 275 325 353 425 429 561 663 715 825 935 975 1059 1105 1275 1765 2145 2431 2805 3315 3575 3883 4589 4675 5295 5525 6001 7293 8825 10725 11649 12155 13767 14025 16575 18003 19415 22945 26475 30005 36465 50479 58245 60775 66011 68835 78013 90015 97075 114725 150025 151437 182325 198033 234039 252395 291225 330055 344175 390065 450075 757185 858143 990165 1170195 1261975 1650275 1950325 2574429 3785925 4290715 4950825 5850975 12872145 21453575 64360725