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20556192 = 253233919
BaseRepresentation
bin100111001101…
…0100110100000
31102200100210110
41032122212200
520230244232
62012331320
7336503406
oct116324640
942610713
1020556192
1110670198
126a73b40
134349637
142a31476
151c10acc
hex139a9a0

20556192 has 48 divisors (see below), whose sum is σ = 54250560. Its totient is φ = 6815232.

The previous prime is 20556191. The next prime is 20556199. The reversal of 20556192 is 29165502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×205561924 (a number of 30 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (20556191) 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 7 ways as a sum of consecutive naturals, for example, 21909 + ... + 22827.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 220556192 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 20556192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

20556192 is an abundant number, since it is smaller than the sum of its proper divisors (33694368).

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

20556192 is a wasteful number, since it uses less digits than its factorization.

20556192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 20556192 is about 4533.8936908578. The cubic root of 20556192 is about 273.9350193110.

The spelling of 20556192 in words is "twenty million, five hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 919 932 1398 1838 1864 2757 2796 3676 3728 5514 5592 7352 7456 11028 11184 14704 22056 22368 29408 44112 88224 214127 428254 642381 856508 1284762 1713016 2569524 3426032 5139048 6852064 10278096 20556192