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5129540 = 22513109181
BaseRepresentation
bin10011100100010101000100
3100122121101222
4103210111010
52303121130
6301535512
761412633
oct23442504
910577358
105129540
112993999
121874598
1310a7a40
1497751a
156b4ce5
hex4e4544

5129540 has 48 divisors (see below), whose sum is σ = 11771760. Its totient is φ = 1866240.

The previous prime is 5129489. The next prime is 5129557. The reversal of 5129540 is 459215.

It can be written as a sum of positive squares in 8 ways, for example, as 1201216 + 3928324 = 1096^2 + 1982^2 .

It is a super-2 number, since 2×51295402 = 52624361223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28250 + ... + 28430.

It is an arithmetic number, because the mean of its divisors is an integer number (245245).

Almost surely, 25129540 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 5129540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885880).

5129540 is an abundant number, since it is smaller than the sum of its proper divisors (6642220).

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

5129540 is a wasteful number, since it uses less digits than its factorization.

5129540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 5129540 is about 2264.8487808240. The cubic root of 5129540 is about 172.4617572578.

The spelling of 5129540 in words is "five million, one hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 181 218 260 362 436 545 724 905 1090 1417 1810 2180 2353 2834 3620 4706 5668 7085 9412 11765 14170 19729 23530 28340 39458 47060 78916 98645 197290 256477 394580 512954 1025908 1282385 2564770 5129540