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5505840 = 243352549
BaseRepresentation
bin10101000000001100110000
3101100201121000
4111000030300
52402141330
6314002000
764541004
oct25001460
911321530
105505840
11312068a
121a16300
1311aa0c2
14a34704
1573b560
hex540330

5505840 has 80 divisors (see below), whose sum is σ = 18972000. Its totient is φ = 1467648.

The previous prime is 5505811. The next prime is 5505869. The reversal of 5505840 is 485055.

5505840 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 (5505811) and next prime (5505869).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886 + ... + 3434.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 25505840 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 5505840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486000).

5505840 is an abundant number, since it is smaller than the sum of its proper divisors (13466160).

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

5505840 is a wasteful number, since it uses less digits than its factorization.

5505840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5505840 is about 2346.4526417552. The cubic root of 5505840 is about 176.5798711340.

The spelling of 5505840 in words is "five million, five hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2549 5098 7647 10196 12745 15294 20392 22941 25490 30588 38235 40784 45882 50980 61176 68823 76470 91764 101960 114705 122352 137646 152940 183528 203920 229410 275292 305880 344115 367056 458820 550584 611760 688230 917640 1101168 1376460 1835280 2752920 5505840