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20556144 = 2432720393
BaseRepresentation
bin100111001101…
…0100101110000
31102200100201200
41032122211300
520230244034
62012331200
7336503310
oct116324560
942610650
1020556144
1110670154
126a73b00
1343495cb
142a31440
151c10a99
hex139a970

20556144 has 60 divisors (see below), whose sum is σ = 65750256. Its totient is φ = 5872896.

The previous prime is 20556121. The next prime is 20556149. The reversal of 20556144 is 44165502.

It is a super-2 number, since 2×205561442 = 845110112297472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20556149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9189 + ... + 11204.

Almost surely, 220556144 is an apocalyptic number.

20556144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20556144 is an abundant number, since it is smaller than the sum of its proper divisors (45194112).

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

20556144 is a wasteful number, since it uses less digits than its factorization.

20556144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20414 (or 20405 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20556144 is about 4533.8883973914. Note that the first 3 decimals coincide. The cubic root of 20556144 is about 273.9348060924.

The spelling of 20556144 in words is "twenty million, five hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 20393 40786 61179 81572 122358 142751 163144 183537 244716 285502 326288 367074 428253 489432 571004 734148 856506 978864 1142008 1284759 1468296 1713012 2284016 2569518 2936592 3426024 5139036 6852048 10278072 20556144