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2153801 = 13292197
BaseRepresentation
bin1000001101110101001001
311001102110102
420031311021
51022410201
6114055145
724210206
oct10156511
94042412
102153801
111241201
1287a4b5
135a5450
14400cad
152c826b
hex20dd49

2153801 has 12 divisors (see below), whose sum is σ = 2414412. Its totient is φ = 1909824.

The previous prime is 2153797. The next prime is 2153813. The reversal of 2153801 is 1083512.

2153801 = T38 + T39 + ... + T234.

It can be written as a sum of positive squares in 6 ways, for example, as 48400 + 2105401 = 220^2 + 1451^2 .

It is not a de Polignac number, because 2153801 - 22 = 2153797 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2153861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10835 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (201201).

22153801 is an apocalyptic number.

It is an amenable number.

2153801 is a deficient number, since it is larger than the sum of its proper divisors (260611).

2153801 is a wasteful number, since it uses less digits than its factorization.

2153801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2153801 is about 1467.5833877501. The cubic root of 2153801 is about 129.1423023533.

The spelling of 2153801 in words is "two million, one hundred fifty-three thousand, eight hundred one".

Divisors: 1 13 29 197 377 841 2561 5713 10933 74269 165677 2153801