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64260840 = 23357113677
BaseRepresentation
bin1111010100100…
…0101011101000
311110220210022010
43311020223220
5112422321330
610213155520
71410131250
oct365105350
9143823263
1064260840
1133301136
121962bba0
131040c487
14876a960
1559953b0
hex3d48ae8

64260840 has 128 divisors (see below), whose sum is σ = 222600960. Its totient is φ = 14536704.

The previous prime is 64260829. The next prime is 64260863. The reversal of 64260840 is 4806246.

64260840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64260798 and 64260807.

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 31 ways as a sum of consecutive naturals, for example, 94582 + ... + 95258.

It is an arithmetic number, because the mean of its divisors is an integer number (1739070).

Almost surely, 264260840 is an apocalyptic number.

64260840 is a gapful number since it is divisible by the number (60) 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 64260840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111300480).

64260840 is an abundant number, since it is smaller than the sum of its proper divisors (158340120).

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

64260840 is a wasteful number, since it uses less digits than its factorization.

64260840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 64260840 is about 8016.2859230444. The cubic root of 64260840 is about 400.5426800795.

The spelling of 64260840 in words is "sixty-four million, two hundred sixty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 113 120 140 168 210 226 280 339 420 452 565 677 678 791 840 904 1130 1354 1356 1582 1695 2031 2260 2373 2708 2712 3164 3385 3390 3955 4062 4520 4739 4746 5416 6328 6770 6780 7910 8124 9478 9492 10155 11865 13540 13560 14217 15820 16248 18956 18984 20310 23695 23730 27080 28434 31640 37912 40620 47390 47460 56868 71085 76501 81240 94780 94920 113736 142170 153002 189560 229503 284340 306004 382505 459006 535507 568680 612008 765010 918012 1071014 1147515 1530020 1606521 1836024 2142028 2295030 2677535 3060040 3213042 4284056 4590060 5355070 6426084 8032605 9180120 10710140 12852168 16065210 21420280 32130420 64260840