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2131350 = 2352131093
BaseRepresentation
bin1000001000010110010110
311000021122220
420020112112
51021200400
6113403210
724054564
oct10102626
94007586
102131350
111226351
12869506
13598170
143d6a34
152c17a0
hex208596

2131350 has 48 divisors (see below), whose sum is σ = 5697552. Its totient is φ = 524160.

The previous prime is 2131321. The next prime is 2131361. The reversal of 2131350 is 531312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

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, 1404 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (118699).

22131350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848776).

2131350 is an abundant number, since it is smaller than the sum of its proper divisors (3566202).

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

2131350 is a wasteful number, since it uses less digits than its factorization.

2131350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2131350 is about 1459.9143810512. The cubic root of 2131350 is about 128.6920120932.

Adding to 2131350 its reverse (531312), we get a palindrome (2662662).

The spelling of 2131350 in words is "two million, one hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1093 1950 2186 3279 5465 6558 10930 14209 16395 27325 28418 32790 42627 54650 71045 81975 85254 142090 163950 213135 355225 426270 710450 1065675 2131350