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20069946 = 23213199431
BaseRepresentation
bin100110010001…
…1111000111010
31101202122210100
41030203320322
520114214241
61554100230
7332406651
oct114437072
941678710
1020069946
1110368936
12687a676
134209210
142946198
151b669b6
hex1323e3a

20069946 has 48 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 6130080.

The previous prime is 20069941. The next prime is 20069957. The reversal of 20069946 is 64996002.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20069946.

It is not an unprimeable number, because it can be changed into a prime (20069941) 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 23 ways as a sum of consecutive naturals, for example, 46351 + ... + 46781.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 220069946 is an apocalyptic number.

20069946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20069946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

20069946 is an abundant number, since it is smaller than the sum of its proper divisors (27104454).

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

20069946 is a wasteful number, since it uses less digits than its factorization.

20069946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20069946 is about 4479.9493300706. The cubic root of 20069946 is about 271.7578312397.

The spelling of 20069946 in words is "twenty million, sixty-nine thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 199 234 398 431 597 862 1194 1293 1791 2586 2587 3582 3879 5174 5603 7758 7761 11206 15522 16809 23283 33618 46566 50427 85769 100854 171538 257307 514614 771921 1114997 1543842 2229994 3344991 6689982 10034973 20069946