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5741880 = 233559811
BaseRepresentation
bin10101111001110100111000
3101210201101020
4111321310320
52432220010
6323022440
766543114
oct25716470
911721336
105741880
113271a61
121b0aa20
131260681
14a96744
15786470
hex579d38

5741880 has 64 divisors (see below), whose sum is σ = 17539200. Its totient is φ = 1503360.

The previous prime is 5741873. The next prime is 5741887. The reversal of 5741880 is 881475.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5741873) and next prime (5741887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6675 + ... + 7485.

It is an arithmetic number, because the mean of its divisors is an integer number (274050).

Almost surely, 25741880 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 5741880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769600).

5741880 is an abundant number, since it is smaller than the sum of its proper divisors (11797320).

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

5741880 is a wasteful number, since it uses less digits than its factorization.

5741880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 5741880 is about 2396.2220264408. Note that the first 3 decimals coincide. The cubic root of 5741880 is about 179.0680223772.

The spelling of 5741880 in words is "five million, seven hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 811 885 1180 1416 1622 1770 2360 2433 3244 3540 4055 4866 6488 7080 8110 9732 12165 16220 19464 24330 32440 47849 48660 95698 97320 143547 191396 239245 287094 382792 478490 574188 717735 956980 1148376 1435470 1913960 2870940 5741880