Search a number
-
+
64821640 = 23513243223
BaseRepresentation
bin1111011101000…
…1100110001000
311111222021120111
43313101212020
5113043243030
610233204104
71414655242
oct367214610
9144867514
1064821640
1133654504
1219860634
1310577800
148875092
155a5662a
hex3dd1988

64821640 has 96 divisors (see below), whose sum is σ = 162328320. Its totient is φ = 23272704.

The previous prime is 64821623. The next prime is 64821643. The reversal of 64821640 is 4612846.

64821640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64821643) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 290569 + ... + 290791.

It is an arithmetic number, because the mean of its divisors is an integer number (1690920).

Almost surely, 264821640 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 64821640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81164160).

64821640 is an abundant number, since it is smaller than the sum of its proper divisors (97506680).

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

64821640 is a wasteful number, since it uses less digits than its factorization.

64821640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 64821640 is about 8051.1887321066. The cubic root of 64821640 is about 401.7044765825.

The spelling of 64821640 in words is "sixty-four million, eight hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 169 172 215 223 260 338 344 430 446 520 559 676 845 860 892 1115 1118 1352 1690 1720 1784 2230 2236 2795 2899 3380 4460 4472 5590 5798 6760 7267 8920 9589 11180 11596 14495 14534 19178 22360 23192 28990 29068 36335 37687 38356 47945 57980 58136 72670 75374 76712 95890 115960 124657 145340 150748 188435 191780 249314 290680 301496 376870 383560 498628 623285 753740 997256 1246570 1507480 1620541 2493140 3241082 4986280 6482164 8102705 12964328 16205410 32410820 64821640