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5889100 = 2252747179
BaseRepresentation
bin10110011101110001001100
3102002012022211
4112131301030
53001422400
6330120204
7101025250
oct26356114
912065284
105889100
113362628
121b80064
1312b2699
14ad4260
157b4dba
hex59dc4c

5889100 has 72 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1965120.

The previous prime is 5889097. The next prime is 5889109. The reversal of 5889100 is 19885.

It is not an unprimeable number, because it can be changed into a prime (5889109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32811 + ... + 32989.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 25889100 is an apocalyptic number.

5889100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5889100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5889100 is an abundant number, since it is smaller than the sum of its proper divisors (9109940).

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

5889100 is a wasteful number, since it uses less digits than its factorization.

5889100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 5889100 is about 2426.7467935489. The cubic root of 5889100 is about 180.5855417214.

The spelling of 5889100 in words is "five million, eight hundred eighty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 179 188 235 329 350 358 470 658 700 716 895 940 1175 1253 1316 1645 1790 2350 2506 3290 3580 4475 4700 5012 6265 6580 8225 8413 8950 12530 16450 16826 17900 25060 31325 32900 33652 42065 58891 62650 84130 117782 125300 168260 210325 235564 294455 420650 588910 841300 1177820 1472275 2944550 5889100