Search a number
-
+
20409408 = 263431127
BaseRepresentation
bin100110111011…
…0110001000000
31102101220110000
41031312301000
520211100113
62005240000
7335322435
oct115666100
942356400
1020409408
111057a988
126a03000
1342c7896
1429d3b8c
151bd2373
hex1376c40

20409408 has 140 divisors (see below), whose sum is σ = 62943232. Its totient is φ = 6531840.

The previous prime is 20409383. The next prime is 20409437. The reversal of 20409408 is 80490402.

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

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 19 ways as a sum of consecutive naturals, for example, 160641 + ... + 160767.

Almost surely, 220409408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31471616).

20409408 is an abundant number, since it is smaller than the sum of its proper divisors (42533824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20409408 is a wasteful number, since it uses less digits than its factorization.

20409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20409408 is about 4517.6772793107. The cubic root of 20409408 is about 273.2814390211.

The spelling of 20409408 in words is "twenty million, four hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 127 144 162 186 192 216 248 254 279 288 324 372 381 432 496 508 558 576 648 744 762 837 864 992 1016 1116 1143 1296 1488 1524 1674 1728 1984 2032 2232 2286 2511 2592 2976 3048 3348 3429 3937 4064 4464 4572 5022 5184 5952 6096 6696 6858 7874 8128 8928 9144 10044 10287 11811 12192 13392 13716 15748 17856 18288 20088 20574 23622 24384 26784 27432 31496 35433 36576 40176 41148 47244 53568 54864 62992 70866 73152 80352 82296 94488 106299 109728 125984 141732 160704 164592 188976 212598 219456 251968 283464 318897 329184 377952 425196 566928 637794 658368 755904 850392 1133856 1275588 1700784 2267712 2551176 3401568 5102352 6803136 10204704 20409408