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5146460 = 22511149157
BaseRepresentation
bin10011101000011101011100
3100200110121122
4103220131130
52304141320
6302150112
761513154
oct23503534
910613548
105146460
1129a5680
121882338
1310b2657
1497d764
156b9d25
hex4e875c

5146460 has 48 divisors (see below), whose sum is σ = 11944800. Its totient is φ = 1847040.

The previous prime is 5146451. The next prime is 5146469. The reversal of 5146460 is 646415.

It is a happy number.

5146460 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5146451) and next prime (5146469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146469) 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, 32702 + ... + 32858.

It is an arithmetic number, because the mean of its divisors is an integer number (248850).

Almost surely, 25146460 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 5146460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972400).

5146460 is an abundant number, since it is smaller than the sum of its proper divisors (6798340).

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

5146460 is a wasteful number, since it uses less digits than its factorization.

5146460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5146460 is about 2268.5810543157. The cubic root of 5146460 is about 172.6511732262.

The spelling of 5146460 in words is "five million, one hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 157 220 298 314 596 628 745 785 1490 1570 1639 1727 2980 3140 3278 3454 6556 6908 8195 8635 16390 17270 23393 32780 34540 46786 93572 116965 233930 257323 467860 514646 1029292 1286615 2573230 5146460