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20006406 = 233727561
BaseRepresentation
bin100110001010…
…0011000000110
31101122102122000
41030110120012
520110201111
61552450130
7332023500
oct114243006
941572560
1020006406
1110325122
126849946
1341b6314
14292ad70
151b52c56
hex1314606

20006406 has 48 divisors (see below), whose sum is σ = 51724080. Its totient is φ = 5715360.

The previous prime is 20006359. The next prime is 20006419. The reversal of 20006406 is 60460002.

20006406 is a `hidden beast` number, since 20 + 0 + 0 + 640 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135 + ... + 6426.

It is an arithmetic number, because the mean of its divisors is an integer number (1077585).

Almost surely, 220006406 is an apocalyptic number.

20006406 is an abundant number, since it is smaller than the sum of its proper divisors (31717674).

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

20006406 is a wasteful number, since it uses less digits than its factorization.

20006406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20006406 is about 4472.8521102312. The cubic root of 20006406 is about 271.4707394979.

Adding to 20006406 its reverse (60460002), we get a palindrome (80466408).

The spelling of 20006406 in words is "twenty million, six thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 7561 15122 22683 45366 52927 68049 105854 136098 158781 204147 317562 370489 408294 476343 740978 952686 1111467 1429029 2222934 2858058 3334401 6668802 10003203 20006406