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2153917 = 17229257
BaseRepresentation
bin1000001101110110111101
311001102121201
420031312331
51022411132
6114055501
724210433
oct10156675
94042551
102153917
1112412a7
1287a591
135a550c
14400d53
152c82e7
hex20ddbd

2153917 has 12 divisors (see below), whose sum is σ = 2376180. Its totient is φ = 1949696.

The previous prime is 2153909. The next prime is 2153929. The reversal of 2153917 is 7193512.

It can be written as a sum of positive squares in 6 ways, for example, as 763876 + 1390041 = 874^2 + 1179^2 .

It is not a de Polignac number, because 2153917 - 23 = 2153909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8253 + ... + 8509.

It is an arithmetic number, because the mean of its divisors is an integer number (198015).

22153917 is an apocalyptic number.

It is an amenable number.

2153917 is a deficient number, since it is larger than the sum of its proper divisors (222263).

2153917 is a wasteful number, since it uses less digits than its factorization.

2153917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its digits is 1890, while the sum is 28.

The square root of 2153917 is about 1467.6229079706. The cubic root of 2153917 is about 129.1446207721.

The spelling of 2153917 in words is "two million, one hundred fifty-three thousand, nine hundred seventeen".

Divisors: 1 17 29 257 289 493 4369 7453 8381 74273 126701 2153917