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5785890 = 2351189197
BaseRepresentation
bin10110000100100100100010
3101212221202020
4112010210202
52440122030
6324002310
7100115325
oct26044442
911787666
105785890
1132a2030
121b30396
131277706
14aa87bc
15794510
hex584922

5785890 has 64 divisors (see below), whose sum is σ = 15396480. Its totient is φ = 1379840.

The previous prime is 5785889. The next prime is 5785891. The reversal of 5785890 is 985875.

It is an interprime number because it is at equal distance from previous prime (5785889) and next prime (5785891).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29272 + ... + 29468.

It is an arithmetic number, because the mean of its divisors is an integer number (240570).

Almost surely, 25785890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698240).

5785890 is an abundant number, since it is smaller than the sum of its proper divisors (9610590).

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

5785890 is a wasteful number, since it uses less digits than its factorization.

5785890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 5785890 is about 2405.3877026376. The cubic root of 5785890 is about 179.5243615469.

The spelling of 5785890 in words is "five million, seven hundred eighty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 197 267 330 394 445 534 591 890 979 985 1182 1335 1958 1970 2167 2670 2937 2955 4334 4895 5874 5910 6501 9790 10835 13002 14685 17533 21670 29370 32505 35066 52599 65010 87665 105198 175330 192863 262995 385726 525990 578589 964315 1157178 1928630 2892945 5785890