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5141820 = 223517712
BaseRepresentation
bin10011100111010100111100
3100200020020210
4103213110330
52304014240
6302112420
761463505
oct23472474
910606223
105141820
1129a2142
12187b710
1310b04c8
1497bbac
156b8780
hex4e753c

5141820 has 72 divisors (see below), whose sum is σ = 15461712. Its totient is φ = 1272320.

The previous prime is 5141819. The next prime is 5141831. The reversal of 5141820 is 281415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72385 + ... + 72455.

It is an arithmetic number, because the mean of its divisors is an integer number (214746).

Almost surely, 25141820 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 5141820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730856).

5141820 is an abundant number, since it is smaller than the sum of its proper divisors (10319892).

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

5141820 is a wasteful number, since it uses less digits than its factorization.

5141820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5141820 is about 2267.5581580193. The cubic root of 5141820 is about 172.5992707328.

The spelling of 5141820 in words is "five million, one hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 71 85 102 142 170 204 213 255 284 340 355 426 510 710 852 1020 1065 1207 1420 2130 2414 3621 4260 4828 5041 6035 7242 10082 12070 14484 15123 18105 20164 24140 25205 30246 36210 50410 60492 72420 75615 85697 100820 151230 171394 257091 302460 342788 428485 514182 856970 1028364 1285455 1713940 2570910 5141820