Search a number
-
+
64839840 = 25351310391
BaseRepresentation
bin1111011101011…
…0000010100000
311112000012112120
43313112002200
5113044333330
610233424240
71415062302
oct367260240
9145005476
1064839840
113366714a
121986b080
1310582b90
14887b972
155a5bc10
hex3dd60a0

64839840 has 96 divisors (see below), whose sum is σ = 219977856. Its totient is φ = 15959040.

The previous prime is 64839833. The next prime is 64839847. The reversal of 64839840 is 4893846.

It is an interprime number because it is at equal distance from previous prime (64839833) and next prime (64839847).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 64839792 and 64839801.

It is not an unprimeable number, because it can be changed into a prime (64839847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045 + ... + 11435.

It is an arithmetic number, because the mean of its divisors is an integer number (2291436).

Almost surely, 264839840 is an apocalyptic number.

64839840 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 64839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109988928).

64839840 is an abundant number, since it is smaller than the sum of its proper divisors (155138016).

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

64839840 is a wasteful number, since it uses less digits than its factorization.

64839840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10422 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 64839840 is about 8052.3189206588. The cubic root of 64839840 is about 401.7420686445.

The spelling of 64839840 in words is "sixty-four million, eight hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 10391 20782 31173 41564 51955 62346 83128 103910 124692 135083 155865 166256 207820 249384 270166 311730 332512 405249 415640 498768 540332 623460 675415 810498 831280 997536 1080664 1246920 1350830 1620996 1662560 2026245 2161328 2493840 2701660 3241992 4052490 4322656 4987680 5403320 6483984 8104980 10806640 12967968 16209960 21613280 32419920 64839840