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2135900 = 2252133153
BaseRepresentation
bin1000001001011101011100
311000111220102
420021131130
51021322100
6113440232
724104054
oct10113534
94014812
102135900
111229808
12870078
1359a260
143d8564
152c2cd5
hex20975c

2135900 has 72 divisors (see below), whose sum is σ = 5249664. Its totient is φ = 748800.

The previous prime is 2135891. The next prime is 2135909. The reversal of 2135900 is 95312.

2135900 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (2135891) and next prime (2135909).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135909) 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, 40274 + ... + 40326.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

22135900 is an apocalyptic number.

2135900 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 2135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832).

2135900 is an abundant number, since it is smaller than the sum of its proper divisors (3113764).

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

2135900 is a wasteful number, since it uses less digits than its factorization.

2135900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 2135900 is about 1461.4718608307. The cubic root of 2135900 is about 128.7835241196.

The spelling of 2135900 in words is "two million, one hundred thirty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 53 62 65 100 106 124 130 155 212 260 265 310 325 403 530 620 650 689 775 806 1060 1300 1325 1378 1550 1612 1643 2015 2650 2756 3100 3286 3445 4030 5300 6572 6890 8060 8215 10075 13780 16430 17225 20150 21359 32860 34450 40300 41075 42718 68900 82150 85436 106795 164300 213590 427180 533975 1067950 2135900