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20216504 = 2371137887
BaseRepresentation
bin100110100011…
…1101010111000
31102001002211102
41031013222320
520133412004
62001150532
7333560150
oct115075270
942032742
1020216504
1110458a60
12692b448
13425ab39
142983760
151b9511e
hex1347ab8

20216504 has 64 divisors (see below), whose sum is σ = 48591360. Its totient is φ = 7655040.

The previous prime is 20216501. The next prime is 20216507. The reversal of 20216504 is 40561202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20216501) and next prime (20216507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20216501) 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, 22349 + ... + 23235.

It is an arithmetic number, because the mean of its divisors is an integer number (759240).

Almost surely, 220216504 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 20216504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295680).

20216504 is an abundant number, since it is smaller than the sum of its proper divisors (28374856).

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

20216504 is a wasteful number, since it uses less digits than its factorization.

20216504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 20216504 is about 4496.2766818780. The cubic root of 20216504 is about 272.4177188943.

Adding to 20216504 its reverse (40561202), we get a palindrome (60777706).

It can be divided in two parts, 20216 and 504, that multiplied together give a square (10188864 = 31922).

The spelling of 20216504 in words is "twenty million, two hundred sixteen thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 887 1036 1628 1774 2072 2849 3256 3548 5698 6209 7096 9757 11396 12418 19514 22792 24836 32819 39028 49672 65638 68299 78056 131276 136598 229733 262552 273196 361009 459466 546392 722018 918932 1444036 1837864 2527063 2888072 5054126 10108252 20216504