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20881520 = 2451161389
BaseRepresentation
bin100111110101…
…0000001110000
31110021220001122
41033222001300
520321202040
62023321412
7342330032
oct117520160
943256048
1020881520
1110872660
126bb0268
13443173a
142ab7c52
151c771b5
hex13ea070

20881520 has 80 divisors (see below), whose sum is σ = 53969760. Its totient is φ = 7449600.

The previous prime is 20881501. The next prime is 20881529. The reversal of 20881520 is 2518802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 20881520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20881529) by changing a digit.

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, 53486 + ... + 53874.

It is an arithmetic number, because the mean of its divisors is an integer number (674622).

Almost surely, 220881520 is an apocalyptic number.

20881520 is a gapful number since it is divisible by the number (20) 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 20881520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984880).

20881520 is an abundant number, since it is smaller than the sum of its proper divisors (33088240).

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

20881520 is a wasteful number, since it uses less digits than its factorization.

20881520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 20881520 is about 4569.6301819732. The cubic root of 20881520 is about 275.3725858802.

The spelling of 20881520 in words is "twenty million, eight hundred eighty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 389 440 488 610 671 778 880 976 1220 1342 1556 1945 2440 2684 3112 3355 3890 4279 4880 5368 6224 6710 7780 8558 10736 13420 15560 17116 21395 23729 26840 31120 34232 42790 47458 53680 68464 85580 94916 118645 171160 189832 237290 261019 342320 379664 474580 522038 949160 1044076 1305095 1898320 2088152 2610190 4176304 5220380 10440760 20881520