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5134640 = 245753173
BaseRepresentation
bin10011100101100100110000
3100122212101212
4103211210300
52303302030
6302015252
761433540
oct23454460
910585355
105134640
112997805
121877528
1310aa164
14979320
156b6595
hex4e5930

5134640 has 80 divisors (see below), whose sum is σ = 13981248. Its totient is φ = 1717248.

The previous prime is 5134573. The next prime is 5134643. The reversal of 5134640 is 464315.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134643) 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, 29594 + ... + 29766.

Almost surely, 25134640 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 5134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990624).

5134640 is an abundant number, since it is smaller than the sum of its proper divisors (8846608).

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

5134640 is a wasteful number, since it uses less digits than its factorization.

5134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5134640 is about 2265.9744040920. The cubic root of 5134640 is about 172.5188945207.

Adding to 5134640 its reverse (464315), we get a palindrome (5598955).

The spelling of 5134640 in words is "five million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 173 212 265 280 346 371 424 530 560 692 742 848 865 1060 1211 1384 1484 1730 1855 2120 2422 2768 2968 3460 3710 4240 4844 5936 6055 6920 7420 9169 9688 12110 13840 14840 18338 19376 24220 29680 36676 45845 48440 64183 73352 91690 96880 128366 146704 183380 256732 320915 366760 513464 641830 733520 1026928 1283660 2567320 5134640