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90105433 = 112731012
BaseRepresentation
bin1010101111011…
…10011001011001
320021112211102021
411113232121121
5141031333213
612535134441
72142612025
oct527563131
9207484367
1090105433
1146953600
1226214421
131588ac32
14bd77385
157d9cd8d
hex55ee659

90105433 has 18 divisors (see below), whose sum is σ = 101402126. Its totient is φ = 79992000.

The previous prime is 90105427. The next prime is 90105443. The reversal of 90105433 is 33450109.

It can be written as a sum of positive squares in 3 ways, for example, as 64834704 + 25270729 = 8052^2 + 5027^2 .

It is not a de Polignac number, because 90105433 - 25 = 90105401 is a prime.

It is a super-2 number, since 2×901054332 = 16237978112234978, 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 = 90105398 and 90105407.

It is not an unprimeable number, because it can be changed into a prime (90105403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 892083 + ... + 892183.

Almost surely, 290105433 is an apocalyptic number.

It is an amenable number.

90105433 is a deficient number, since it is larger than the sum of its proper divisors (11296693).

90105433 is a wasteful number, since it uses less digits than its factorization.

90105433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 90105433 is about 9492.3881610478. The cubic root of 90105433 is about 448.3154019015.

The spelling of 90105433 in words is "ninety million, one hundred five thousand, four hundred thirty-three".

Divisors: 1 11 73 101 121 803 1111 7373 8833 10201 12221 81103 112211 744673 892133 1234321 8191403 90105433