Search a number
-
+
20760432 = 24371141137
BaseRepresentation
bin100111100110…
…0011101110000
31110001201221220
41033030131300
520303313212
62020545040
7341314020
oct117143560
943051856
1020760432
111079a690
126b52180
1343bb5a4
142a85a80
151c5138c
hex13cc770

20760432 has 160 divisors (see below), whose sum is σ = 68995584. Its totient is φ = 5222400.

The previous prime is 20760409. The next prime is 20760479. The reversal of 20760432 is 23406702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 151468 + ... + 151604.

Almost surely, 220760432 is an apocalyptic number.

20760432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20760432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34497792).

20760432 is an abundant number, since it is smaller than the sum of its proper divisors (48235152).

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

20760432 is a wasteful number, since it uses less digits than its factorization.

20760432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20760432 is about 4556.3617064496. The cubic root of 20760432 is about 274.8392757797.

The spelling of 20760432 in words is "twenty million, seven hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 137 154 164 168 176 231 246 264 274 287 308 328 336 411 451 462 492 528 548 574 616 656 822 861 902 924 959 984 1096 1148 1232 1353 1507 1644 1722 1804 1848 1918 1968 2192 2296 2706 2877 3014 3157 3288 3444 3608 3696 3836 4521 4592 5412 5617 5754 6028 6314 6576 6888 7216 7672 9042 9471 10549 10824 11234 11508 12056 12628 13776 15344 16851 18084 18942 21098 21648 22468 23016 24112 25256 31647 33702 36168 37884 39319 42196 44936 46032 50512 61787 63294 67404 72336 75768 78638 84392 89872 117957 123574 126588 134808 151536 157276 168784 185361 235914 247148 253176 269616 314552 370722 432509 471828 494296 506352 629104 741444 865018 943656 988592 1297527 1482888 1730036 1887312 2595054 2965776 3460072 5190108 6920144 10380216 20760432