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20552688 = 24321310979
BaseRepresentation
bin100111001100…
…1101111110000
31102200011222200
41032121233300
520230141223
62012303200
7336460242
oct116315760
942604880
1020552688
11106685a2
126a71b00
134347b70
142a30092
151c0ea43
hex1399bf0

20552688 has 60 divisors (see below), whose sum is σ = 61949160. Its totient is φ = 6323328.

The previous prime is 20552683. The next prime is 20552689. The reversal of 20552688 is 88625502.

20552688 is a `hidden beast` number, since 20 + 552 + 6 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20552683) 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, 3618 + ... + 7361.

It is an arithmetic number, because the mean of its divisors is an integer number (1032486).

Almost surely, 220552688 is an apocalyptic number.

It is an amenable number.

20552688 is an abundant number, since it is smaller than the sum of its proper divisors (41396472).

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

20552688 is a wasteful number, since it uses less digits than its factorization.

20552688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 20552688 is about 4533.5072515658. The cubic root of 20552688 is about 273.9194534765.

The spelling of 20552688 in words is "twenty million, five hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 10979 21958 32937 43916 65874 87832 98811 131748 142727 175664 197622 263496 285454 395244 428181 526992 570908 790488 856362 1141816 1284543 1580976 1712724 2283632 2569086 3425448 5138172 6850896 10276344 20552688