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20400135 = 357375989
BaseRepresentation
bin100110111010…
…0100000000111
31102101102201120
41031310200013
520210301020
62005125023
7335253420
oct115644007
942342646
1020400135
1110573a18
1269b9773
1342c35b2
1429d0647
151bce740
hex1374807

20400135 has 64 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 8819712.

The previous prime is 20400101. The next prime is 20400151. The reversal of 20400135 is 53100402.

It is not a de Polignac number, because 20400135 - 217 = 20269063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229171 + ... + 229259.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 220400135 is an apocalyptic number.

20400135 is a deficient number, since it is larger than the sum of its proper divisors (18998265).

20400135 is a wasteful number, since it uses less digits than its factorization.

20400135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20400135 is about 4516.6508609810. The cubic root of 20400135 is about 273.2400443422.

Adding to 20400135 its reverse (53100402), we get a palindrome (73500537).

The spelling of 20400135 in words is "twenty million, four hundred thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 37 59 89 105 111 177 185 259 267 295 413 445 555 623 777 885 1239 1295 1335 1869 2065 2183 3115 3293 3885 5251 6195 6549 9345 9879 10915 15281 15753 16465 23051 26255 32745 36757 45843 49395 69153 76405 78765 110271 115255 183785 194287 229215 345765 551355 582861 971435 1360009 2914305 4080027 6800045 20400135