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2140600 = 2352711139
BaseRepresentation
bin1000001010100110111000
311000202100111
420022212320
51021444400
6113514104
724123550
oct10124670
94022314
102140600
1112322a0
12872934
1359c437
143da160
152c43ba
hex20a9b8

2140600 has 96 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 662400.

The previous prime is 2140591. The next prime is 2140601. The reversal of 2140600 is 60412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140601) 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, 15331 + ... + 15469.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

22140600 is an apocalyptic number.

2140600 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 2140600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2140600 is an abundant number, since it is smaller than the sum of its proper divisors (4109000).

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

2140600 is a wasteful number, since it uses less digits than its factorization.

2140600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2140600 is about 1463.0789452384. The cubic root of 2140600 is about 128.8779166685.

The spelling of 2140600 in words is "two million, one hundred forty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 139 140 154 175 200 220 275 278 280 308 350 385 440 550 556 616 695 700 770 973 1100 1112 1390 1400 1529 1540 1925 1946 2200 2780 3058 3080 3475 3850 3892 4865 5560 6116 6950 7645 7700 7784 9730 10703 12232 13900 15290 15400 19460 21406 24325 27800 30580 38225 38920 42812 48650 53515 61160 76450 85624 97300 107030 152900 194600 214060 267575 305800 428120 535150 1070300 2140600