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64641040 = 2451923432
BaseRepresentation
bin1111011010010…
…1100000010000
311111122002211121
43312211200100
5113022003130
610225252024
71413303562
oct366454020
9144562747
1064641040
1133540852
1219794014
1310513549
148829332
155a1cd7a
hex3da5810

64641040 has 120 divisors (see below), whose sum is σ = 169007040. Its totient is φ = 22885632.

The previous prime is 64641023. The next prime is 64641043. The reversal of 64641040 is 4014646.

It is a junction number, because it is equal to n+sod(n) for n = 64640996 and 64641014.

It is not an unprimeable number, because it can be changed into a prime (64641043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503259 + ... + 1503301.

It is an arithmetic number, because the mean of its divisors is an integer number (1408392).

Almost surely, 264641040 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 64641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84503520).

64641040 is an abundant number, since it is smaller than the sum of its proper divisors (104366000).

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

64641040 is a wasteful number, since it uses less digits than its factorization.

64641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 64641040 is about 8039.9651740539. The cubic root of 64641040 is about 401.3310657468.

Adding to 64641040 its reverse (4014646), we get a palindrome (68655686).

The spelling of 64641040 in words is "sixty-four million, six hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 43 46 76 80 86 92 95 115 152 172 184 190 215 230 304 344 368 380 430 437 460 688 760 817 860 874 920 989 1520 1634 1720 1748 1840 1849 1978 2185 3268 3440 3496 3698 3956 4085 4370 4945 6536 6992 7396 7912 8170 8740 9245 9890 13072 14792 15824 16340 17480 18490 18791 19780 29584 32680 34960 35131 36980 37582 39560 42527 65360 70262 73960 75164 79120 85054 93955 140524 147920 150328 170108 175655 187910 212635 281048 300656 340216 351310 375820 425270 562096 680432 702620 751640 808013 850540 1405240 1503280 1616026 1701080 2810480 3232052 3402160 4040065 6464104 8080130 12928208 16160260 32320520 64641040