Search a number
-
+
3116640 = 253543151
BaseRepresentation
bin1011111000111001100000
312212100020010
423320321200
51244213030
6150444520
735330262
oct13707140
95770203
103116640
11183963a
121063740
13851787
145b1b32
154186b0
hex2f8e60

3116640 has 96 divisors (see below), whose sum is σ = 10112256. Its totient is φ = 806400.

The previous prime is 3116623. The next prime is 3116651. The reversal of 3116640 is 466113.

3116640 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20565 + ... + 20715.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

Almost surely, 23116640 is an apocalyptic number.

3116640 is a gapful number since it is divisible by the number (30) 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 3116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056128).

3116640 is an abundant number, since it is smaller than the sum of its proper divisors (6995616).

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

3116640 is a wasteful number, since it uses less digits than its factorization.

3116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3116640 is about 1765.4008043501. The cubic root of 3116640 is about 146.0703982761.

The spelling of 3116640 in words is "three million, one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 151 160 172 215 240 258 302 344 430 453 480 516 604 645 688 755 860 906 1032 1208 1290 1376 1510 1720 1812 2064 2265 2416 2580 3020 3440 3624 4128 4530 4832 5160 6040 6493 6880 7248 9060 10320 12080 12986 14496 18120 19479 20640 24160 25972 32465 36240 38958 51944 64930 72480 77916 97395 103888 129860 155832 194790 207776 259720 311664 389580 519440 623328 779160 1038880 1558320 3116640