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20935488 = 263737421
BaseRepresentation
bin100111111011…
…1001101000000
31110101122002110
41033313031000
520324413423
62024415320
7342643260
oct117671500
943348073
1020935488
11108aa162
127017540
134450182
142acd7a0
151c88193
hex13f7340

20935488 has 112 divisors (see below), whose sum is σ = 65170304. Its totient is φ = 5806080.

The previous prime is 20935487. The next prime is 20935489. The reversal of 20935488 is 88453902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20935487) and next prime (20935489).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20935487) 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 15 ways as a sum of consecutive naturals, for example, 49518 + ... + 49938.

Almost surely, 220935488 is an apocalyptic number.

20935488 is a gapful number since it is divisible by the number (28) 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 20935488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32585152).

20935488 is an abundant number, since it is smaller than the sum of its proper divisors (44234816).

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

20935488 is a wasteful number, since it uses less digits than its factorization.

20935488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 20935488 is about 4575.5314445428. The cubic root of 20935488 is about 275.6096140135.

The spelling of 20935488 in words is "twenty million, nine hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 421 444 448 518 592 672 777 842 888 1036 1184 1263 1344 1554 1684 1776 2072 2368 2526 2947 3108 3368 3552 4144 5052 5894 6216 6736 7104 8288 8841 10104 11788 12432 13472 15577 16576 17682 20208 23576 24864 26944 31154 35364 40416 46731 47152 49728 62308 70728 80832 93462 94304 109039 124616 141456 186924 188608 218078 249232 282912 327117 373848 436156 498464 565824 654234 747696 872312 996928 1308468 1495392 1744624 2616936 2990784 3489248 5233872 6978496 10467744 20935488