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20574405 = 345371373
BaseRepresentation
bin100111001111…
…1000011000101
31102201021210000
41032133003011
520231340110
62012551513
7336610455
oct116370305
942637700
1020574405
1110682945
126a82599
134354a07
142a37d65
151c161c0
hex139f0c5

20574405 has 40 divisors (see below), whose sum is σ = 37905912. Its totient is φ = 10668672.

The previous prime is 20574401. The next prime is 20574409. The reversal of 20574405 is 50447502.

It is an interprime number because it is at equal distance from previous prime (20574401) and next prime (20574409).

It can be written as a sum of positive squares in 4 ways, for example, as 12383361 + 8191044 = 3519^2 + 2862^2 .

It is not a de Polignac number, because 20574405 - 22 = 20574401 is a prime.

It is a super-2 number, since 2×205744052 = 846612282208050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20574401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14299 + ... + 15671.

Almost surely, 220574405 is an apocalyptic number.

It is an amenable number.

20574405 is a deficient number, since it is larger than the sum of its proper divisors (17331507).

20574405 is a wasteful number, since it uses less digits than its factorization.

20574405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 20574405 is about 4535.9017846510. The cubic root of 20574405 is about 274.0158985216.

The spelling of 20574405 in words is "twenty million, five hundred seventy-four thousand, four hundred five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 333 405 555 999 1373 1665 2997 4119 4995 6865 12357 14985 20595 37071 50801 61785 111213 152403 185355 254005 457209 556065 762015 1371627 2286045 4114881 6858135 20574405