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5114640 = 2435101211
BaseRepresentation
bin10011100000101100010000
3100121211222010
4103200230100
52302132030
6301342520
761321326
oct23405420
910554863
105114640
112983783
121867a40
1310a101b
14971d16
156b06b0
hex4e0b10

5114640 has 80 divisors (see below), whose sum is σ = 16088256. Its totient is φ = 1344000.

The previous prime is 5114639. The next prime is 5114647. The reversal of 5114640 is 464115.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5114647) 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, 24135 + ... + 24345.

Almost surely, 25114640 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 5114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044128).

5114640 is an abundant number, since it is smaller than the sum of its proper divisors (10973616).

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

5114640 is a wasteful number, since it uses less digits than its factorization.

5114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5114640 is about 2261.5569857954. The cubic root of 5114640 is about 172.2946095673.

Adding to 5114640 its reverse (464115), we get a palindrome (5578755).

It can be divided in two parts, 511 and 4640, that added together give a triangular number (5151 = T101).

The spelling of 5114640 in words is "five million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 211 240 303 404 422 505 606 633 808 844 1010 1055 1212 1266 1515 1616 1688 2020 2110 2424 2532 3030 3165 3376 4040 4220 4848 5064 6060 6330 8080 8440 10128 12120 12660 16880 21311 24240 25320 42622 50640 63933 85244 106555 127866 170488 213110 255732 319665 340976 426220 511464 639330 852440 1022928 1278660 1704880 2557320 5114640