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20923488 = 253361397
BaseRepresentation
bin100111111010…
…0010001100000
31110101000122000
41033310101200
520324022423
62024244000
7342563265
oct117642140
943330560
1020923488
11108a1143
127010600
134447881
142ac926c
151c84843
hex13f4460

20923488 has 96 divisors (see below), whose sum is σ = 62183520. Its totient is φ = 6842880.

The previous prime is 20923459. The next prime is 20923493. The reversal of 20923488 is 88432902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×209234882 = 875584700172288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 52506 + ... + 52902.

It is an arithmetic number, because the mean of its divisors is an integer number (647745).

Almost surely, 220923488 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 20923488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31091760).

20923488 is an abundant number, since it is smaller than the sum of its proper divisors (41260032).

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

20923488 is a wasteful number, since it uses less digits than its factorization.

20923488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20923488 is about 4574.2199334969. The cubic root of 20923488 is about 275.5569451119.

The spelling of 20923488 in words is "twenty million, nine hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 397 432 488 549 732 794 864 976 1098 1191 1464 1588 1647 1952 2196 2382 2928 3176 3294 3573 4392 4764 5856 6352 6588 7146 8784 9528 10719 12704 13176 14292 17568 19056 21438 24217 26352 28584 38112 42876 48434 52704 57168 72651 85752 96868 114336 145302 171504 193736 217953 290604 343008 387472 435906 581208 653859 774944 871812 1162416 1307718 1743624 2324832 2615436 3487248 5230872 6974496 10461744 20923488