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90546071 = 7211315419
BaseRepresentation
bin1010110010110…
…01111110010111
320022101012212012
411121121332113
5141134433241
612552414435
72146425500
oct531317627
9208335765
1090546071
1147124670
12263a741b
13159b3675
14c04dba7
157e386eb
hex5659f97

90546071 has 24 divisors (see below), whose sum is σ = 118632960. Its totient is φ = 68266800.

The previous prime is 90546041. The next prime is 90546073. The reversal of 90546071 is 17064509.

It is a happy number.

It is not a de Polignac number, because 90546071 - 26 = 90546007 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90546073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14000 + ... + 19418.

It is an arithmetic number, because the mean of its divisors is an integer number (4943040).

Almost surely, 290546071 is an apocalyptic number.

90546071 is a deficient number, since it is larger than the sum of its proper divisors (28086889).

90546071 is a wasteful number, since it uses less digits than its factorization.

90546071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 90546071 is about 9515.5699251280. The cubic root of 90546071 is about 449.0450051862.

The spelling of 90546071 in words is "ninety million, five hundred forty-six thousand, seventy-one".

Divisors: 1 7 11 31 49 77 217 341 539 1519 2387 5419 16709 37933 59609 167989 265531 417263 1175923 1847879 2920841 8231461 12935153 90546071