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90144131 = 7111517753
BaseRepresentation
bin1010101111101…
…11110110000011
320021121210111112
411113313312003
5141034103011
612540033535
72143132610
oct527676603
9207553445
1090144131
114697a690
12262328ab
13158a272c
14bd87507
157da958b
hex55f7d83

90144131 has 16 divisors (see below), whose sum is σ = 113146368. Its totient is φ = 69768000.

The previous prime is 90144121. The next prime is 90144143. The reversal of 90144131 is 13144109.

It is a cyclic number.

It is not a de Polignac number, because 90144131 - 226 = 23035267 is a prime.

It is a super-2 number, since 2×901441312 = 16251928707490322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90144097 and 90144106.

It is not an unprimeable number, because it can be changed into a prime (90144101) 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 15 ways as a sum of consecutive naturals, for example, 7751 + ... + 15503.

It is an arithmetic number, because the mean of its divisors is an integer number (7071648).

Almost surely, 290144131 is an apocalyptic number.

90144131 is a deficient number, since it is larger than the sum of its proper divisors (23002237).

90144131 is a wasteful number, since it uses less digits than its factorization.

90144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 90144131 is about 9494.4263123161. The cubic root of 90144131 is about 448.3795727504.

The spelling of 90144131 in words is "ninety million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 7 11 77 151 1057 1661 7753 11627 54271 85283 596981 1170703 8194921 12877733 90144131