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2108000 = 25531731
BaseRepresentation
bin1000000010101001100000
310222002122002
420002221200
51014424000
6113103132
723626526
oct10025140
93862562
102108000
11120a854
12857aa8
1358a64b
143cc316
152b98d5
hex202a60

2108000 has 96 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 768000.

The previous prime is 2107999. The next prime is 2108003. The reversal of 2108000 is 8012.

2108000 = T335 + T336 + ... + T368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108003) 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, 67985 + ... + 68015.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

22108000 is an apocalyptic number.

2108000 is a gapful number since it is divisible by the number (20) 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 2108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2108000 is an abundant number, since it is smaller than the sum of its proper divisors (3552928).

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

2108000 is a wasteful number, since it uses less digits than its factorization.

2108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2108000 is about 1451.8953130305. The cubic root of 2108000 is about 128.2203236690.

It can be divided in two parts, 2 and 108000, that multiplied together give a cube (216000 = 603).

The spelling of 2108000 in words is "two million, one hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 68 80 85 100 124 125 136 155 160 170 200 248 250 272 310 340 400 425 496 500 527 544 620 680 775 800 850 992 1000 1054 1240 1360 1550 1700 2000 2108 2125 2480 2635 2720 3100 3400 3875 4000 4216 4250 4960 5270 6200 6800 7750 8432 8500 10540 12400 13175 13600 15500 16864 17000 21080 24800 26350 31000 34000 42160 52700 62000 65875 68000 84320 105400 124000 131750 210800 263500 421600 527000 1054000 2108000