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2130600 = 233525367
BaseRepresentation
bin1000001000001010101000
311000020122010
420020022220
51021134400
6113355520
724052443
oct10101250
94006563
102130600
11122582a
12868ba0
13597a14
143d665a
152c1450
hex2082a8

2130600 has 96 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 549120.

The previous prime is 2130581. The next prime is 2130613. The reversal of 2130600 is 60312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31767 + ... + 31833.

It is an arithmetic number, because the mean of its divisors is an integer number (71145).

22130600 is an apocalyptic number.

2130600 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 2130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

2130600 is an abundant number, since it is smaller than the sum of its proper divisors (4699320).

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

2130600 is a wasteful number, since it uses less digits than its factorization.

2130600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130600 is about 1459.6574940718. The cubic root of 2130600 is about 128.6769151933.

Adding to 2130600 its reverse (60312), we get a palindrome (2190912).

The spelling of 2130600 in words is "two million, one hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 67 75 100 106 120 134 150 159 200 201 212 265 268 300 318 335 402 424 530 536 600 636 670 795 804 1005 1060 1272 1325 1340 1590 1608 1675 2010 2120 2650 2680 3180 3350 3551 3975 4020 5025 5300 6360 6700 7102 7950 8040 10050 10600 10653 13400 14204 15900 17755 20100 21306 28408 31800 35510 40200 42612 53265 71020 85224 88775 106530 142040 177550 213060 266325 355100 426120 532650 710200 1065300 2130600