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90245129 = 13172914081
BaseRepresentation
bin1010110000100…
…00100000001001
320021210221001012
411120100200021
5141100321004
612542133305
72144033222
oct530204011
9207727035
1090245129
1146a39557
1226281235
13159096b0
14bdb2249
157dc946e
hex5610809

90245129 has 16 divisors (see below), whose sum is σ = 106459920. Its totient is φ = 75694080.

The previous prime is 90245119. The next prime is 90245137. The reversal of 90245129 is 92154209.

It can be written as a sum of positive squares in 8 ways, for example, as 1885129 + 88360000 = 1373^2 + 9400^2 .

It is a cyclic number.

It is not a de Polignac number, because 90245129 - 224 = 73467913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90245095 and 90245104.

It is not an unprimeable number, because it can be changed into a prime (90245119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632 + ... + 13449.

It is an arithmetic number, because the mean of its divisors is an integer number (6653745).

Almost surely, 290245129 is an apocalyptic number.

It is an amenable number.

90245129 is a deficient number, since it is larger than the sum of its proper divisors (16214791).

90245129 is a wasteful number, since it uses less digits than its factorization.

90245129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 90245129 is about 9499.7436281197. The cubic root of 90245129 is about 448.5469659292.

The spelling of 90245129 in words is "ninety million, two hundred forty-five thousand, one hundred twenty-nine".

Divisors: 1 13 17 29 221 377 493 6409 14081 183053 239377 408349 3111901 5308537 6941933 90245129