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290157 = 3741337
BaseRepresentation
bin1000110110101101101
3112202000120
41012311231
533241112
610115153
72315640
oct1066555
9482016
10290157
11188aaa
1211bab9
13a20ba
1477a57
155ae8c
hex46d6d

290157 has 16 divisors (see below), whose sum is σ = 454272. Its totient is φ = 161280.

The previous prime is 290141. The next prime is 290161. The reversal of 290157 is 751092.

290157 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 290157 - 24 = 290141 is a prime.

290157 is strictly pandigital in base 7.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290157.

It is not an unprimeable number, because it can be changed into a prime (290107) 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 15 ways as a sum of consecutive naturals, for example, 693 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2290157 is an apocalyptic number.

It is an amenable number.

290157 is a deficient number, since it is larger than the sum of its proper divisors (164115).

290157 is a wasteful number, since it uses less digits than its factorization.

290157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 290157 is about 538.6622318299. The cubic root of 290157 is about 66.2030021487.

The spelling of 290157 in words is "two hundred ninety thousand, one hundred fifty-seven".

Divisors: 1 3 7 21 41 123 287 337 861 1011 2359 7077 13817 41451 96719 290157