Search a number
-
+
20755476 = 22327233581
BaseRepresentation
bin100111100101…
…1010000010100
31110001111011100
41033023100110
520303133401
62020510100
7341263410
oct117132024
943044140
1020755476
1110796995
126b4b330
1343b9261
142a83d40
151c4eb86
hex13cb414

20755476 has 72 divisors (see below), whose sum is σ = 62584704. Its totient is φ = 5670720.

The previous prime is 20755463. The next prime is 20755507. The reversal of 20755476 is 67455702.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20755476.

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 23 ways as a sum of consecutive naturals, for example, 4006 + ... + 7586.

It is an arithmetic number, because the mean of its divisors is an integer number (869232).

Almost surely, 220755476 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 20755476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31292352).

20755476 is an abundant number, since it is smaller than the sum of its proper divisors (41829228).

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

20755476 is a wasteful number, since it uses less digits than its factorization.

20755476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 20755476 is about 4555.8178190090. The cubic root of 20755476 is about 274.8174038544.

The spelling of 20755476 in words is "twenty million, seven hundred fifty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 3581 5796 7162 10743 14324 21486 25067 32229 42972 50134 64458 75201 82363 100268 128916 150402 164726 225603 247089 300804 329452 451206 494178 576541 741267 902412 988356 1153082 1482534 1729623 2306164 2965068 3459246 5188869 6918492 10377738 20755476