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20556024 = 2331961739
BaseRepresentation
bin100111001101…
…0100011111000
31102200100120020
41032122203320
520230243044
62012330440
7336503046
oct116324370
942610506
1020556024
1110670055
126a73a20
134349538
142a31396
151c10a19
hex139a8f8

20556024 has 64 divisors (see below), whose sum is σ = 55056000. Its totient is φ = 6376320.

The previous prime is 20556023. The next prime is 20556031. The reversal of 20556024 is 42065502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20555985 and 20556003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20556023) 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, 27447 + ... + 28185.

It is an arithmetic number, because the mean of its divisors is an integer number (860250).

Almost surely, 220556024 is an apocalyptic number.

20556024 is a gapful number since it is divisible by the number (24) 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 20556024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27528000).

20556024 is an abundant number, since it is smaller than the sum of its proper divisors (34499976).

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

20556024 is a wasteful number, since it uses less digits than its factorization.

20556024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 20556024 is about 4533.8751636983. The cubic root of 20556024 is about 273.9342730443.

The spelling of 20556024 in words is "twenty million, five hundred fifty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 488 732 739 1159 1464 1478 2217 2318 2956 3477 4434 4636 5912 6954 8868 9272 13908 14041 17736 27816 28082 42123 45079 56164 84246 90158 112328 135237 168492 180316 270474 336984 360632 540948 856501 1081896 1713002 2569503 3426004 5139006 6852008 10278012 20556024