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5785880 = 2351923331
BaseRepresentation
bin10110000100100100011000
3101212221201212
4112010210120
52440122010
6324002252
7100115312
oct26044430
911787655
105785880
1132a2021
121b30388
1312776c9
14aa87b2
15794505
hex584918

5785880 has 64 divisors (see below), whose sum is σ = 14342400. Its totient is φ = 2090880.

The previous prime is 5785873. The next prime is 5785889. The reversal of 5785880 is 885875.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17315 + ... + 17645.

It is an arithmetic number, because the mean of its divisors is an integer number (224100).

Almost surely, 25785880 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 5785880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171200).

5785880 is an abundant number, since it is smaller than the sum of its proper divisors (8556520).

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

5785880 is a wasteful number, since it uses less digits than its factorization.

5785880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 41.

The square root of 5785880 is about 2405.3856239697. The cubic root of 5785880 is about 179.5242581203.

The spelling of 5785880 in words is "five million, seven hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 331 380 437 460 662 760 874 920 1324 1655 1748 2185 2648 3310 3496 4370 6289 6620 7613 8740 12578 13240 15226 17480 25156 30452 31445 38065 50312 60904 62890 76130 125780 144647 152260 251560 289294 304520 578588 723235 1157176 1446470 2892940 5785880