Search a number
-
+
5274840 = 2335113389
BaseRepresentation
bin10100000111110011011000
3100220222201110
4110013303120
52322243330
6305020320
762556354
oct24076330
910828643
105274840
112a8307a
1219246a0
131128c0c
149b4464
156e2db0
hex507cd8

5274840 has 64 divisors (see below), whose sum is σ = 16005600. Its totient is φ = 1390592.

The previous prime is 5274833. The next prime is 5274851. The reversal of 5274840 is 484725.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5274798 and 5274807.

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, 13366 + ... + 13754.

Almost surely, 25274840 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 5274840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002800).

5274840 is an abundant number, since it is smaller than the sum of its proper divisors (10730760).

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

5274840 is a wasteful number, since it uses less digits than its factorization.

5274840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5274840 is about 2296.7019832795. The cubic root of 5274840 is about 174.0750105969.

The spelling of 5274840 in words is "five million, two hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 389 452 565 678 778 904 1130 1167 1356 1556 1695 1945 2260 2334 2712 3112 3390 3890 4520 4668 5835 6780 7780 9336 11670 13560 15560 23340 43957 46680 87914 131871 175828 219785 263742 351656 439570 527484 659355 879140 1054968 1318710 1758280 2637420 5274840