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20932912 = 24711131307
BaseRepresentation
bin100111111011…
…0100100110000
31110101111120001
41033312210300
520324323122
62024355344
7342632620
oct117664460
943344501
1020932912
11108a8230
127015b54
13444bc50
142acc880
151c87527
hex13f6930

20932912 has 80 divisors (see below), whose sum is σ = 54496512. Its totient is φ = 7522560.

The previous prime is 20932909. The next prime is 20932937. The reversal of 20932912 is 21923902.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 15363 + ... + 16669.

Almost surely, 220932912 is an apocalyptic number.

20932912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20932912 is the 2288-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20932912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27248256).

20932912 is an abundant number, since it is smaller than the sum of its proper divisors (33563600).

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

20932912 is a wasteful number, since it uses less digits than its factorization.

20932912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 20932912 is about 4575.2499385279. The cubic root of 20932912 is about 275.5983094528.

It can be divided in two parts, 2093 and 2912, that added together give a palindrome (5005).

The spelling of 20932912 in words is "twenty million, nine hundred thirty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1307 1456 2002 2288 2614 4004 5228 8008 9149 10456 14377 16016 16991 18298 20912 28754 33982 36596 57508 67964 73192 100639 115016 118937 135928 146384 186901 201278 230032 237874 271856 373802 402556 475748 747604 805112 951496 1308307 1495208 1610224 1902992 2616614 2990416 5233228 10466456 20932912