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2141397 = 3426437
BaseRepresentation
bin1000001010110011010101
311000210110000
420022303111
51022011042
6113521513
724126066
oct10126325
94023400
102141397
111232955
12873299
1359c8cb
143da56d
152c474c
hex20acd5

2141397 has 10 divisors (see below), whose sum is σ = 3198998. Its totient is φ = 1427544.

The previous prime is 2141333. The next prime is 2141401. The reversal of 2141397 is 7931412.

It can be written as a sum of positive squares in only one way, i.e., 2047761 + 93636 = 1431^2 + 306^2 .

It is not a de Polignac number, because 2141397 - 26 = 2141333 is a prime.

It is a super-3 number, since 3×21413973 = 29458648906968533319, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2141397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141197) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13138 + ... + 13299.

22141397 is an apocalyptic number.

2141397 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2141397 is a deficient number, since it is larger than the sum of its proper divisors (1057601).

2141397 is an equidigital number, since it uses as much as digits as its factorization.

2141397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26449 (or 26440 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 2141397 is about 1463.3512907023. The cubic root of 2141397 is about 128.8939095294.

The spelling of 2141397 in words is "two million, one hundred forty-one thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 81 26437 79311 237933 713799 2141397