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2117493 = 327192961
BaseRepresentation
bin1000000100111101110101
310222120122200
420010331311
51020224433
6113215113
723666310
oct10047565
93876580
102117493
1112169a4
12861499
13591a71
143d1977
152bc613
hex204f75

2117493 has 48 divisors (see below), whose sum is σ = 3868800. Its totient is φ = 1088640.

The previous prime is 2117477. The next prime is 2117497. The reversal of 2117493 is 3947112.

2117493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2117493 - 24 = 2117477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34683 + ... + 34743.

It is an arithmetic number, because the mean of its divisors is an integer number (80600).

22117493 is an apocalyptic number.

It is an amenable number.

2117493 is a deficient number, since it is larger than the sum of its proper divisors (1751307).

2117493 is a wasteful number, since it uses less digits than its factorization.

2117493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 119 counting only the distinct ones).

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

The square root of 2117493 is about 1455.1608158551. The cubic root of 2117493 is about 128.4125078798.

The spelling of 2117493 in words is "two million, one hundred seventeen thousand, four hundred ninety-three".

Divisors: 1 3 7 9 19 21 29 57 61 63 87 133 171 183 203 261 399 427 549 551 609 1159 1197 1281 1653 1769 1827 3477 3843 3857 4959 5307 8113 10431 11571 12383 15921 24339 33611 34713 37149 73017 100833 111447 235277 302499 705831 2117493