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20996976 = 243711131923
BaseRepresentation
bin101000000011…
…0001101110000
31110111202102210
41100012031300
520333400401
62030012120
7343320450
oct120061560
943452383
1020996976
1110941380
127047040
134472160
142b07d60
151c9b4d6
hex1406370

20996976 has 320 divisors, whose sum is σ = 79994880. Its totient is φ = 4561920.

The previous prime is 20996959. The next prime is 20996977. The reversal of 20996976 is 67969902.

It is a happy number.

It is a super-2 number, since 2×209969762 = 881746002289152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20996977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912901 + ... + 912923.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 220996976 is an apocalyptic number.

20996976 is a gapful number since it is divisible by the number (26) 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 20996976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

20996976 is an abundant number, since it is smaller than the sum of its proper divisors (58997904).

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

20996976 is a wasteful number, since it uses less digits than its factorization.

20996976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 20996976 is about 4582.2457376269. The cubic root of 20996976 is about 275.8791741664.

The spelling of 20996976 in words is "twenty million, nine hundred ninety-six thousand, nine hundred seventy-six".