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10214976 = 26383641
BaseRepresentation
bin100110111101…
…111001000000
3201012222022110
4212331321000
510103334401
61002535320
7152553162
oct46757100
921188273
1010214976
115847732
123507540
132168685
1414dc932
15d6b9d6
hex9bde40

10214976 has 56 divisors (see below), whose sum is σ = 27395424. Its totient is φ = 3358720.

The previous prime is 10214959. The next prime is 10215001. The reversal of 10214976 is 67941201.

It is a happy number.

10214976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15616 + ... + 16256.

It is an arithmetic number, because the mean of its divisors is an integer number (489204).

Almost surely, 210214976 is an apocalyptic number.

10214976 is a gapful number since it is divisible by the number (16) 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 10214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697712).

10214976 is an abundant number, since it is smaller than the sum of its proper divisors (17180448).

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

10214976 is an equidigital number, since it uses as much as digits as its factorization.

10214976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10214976 is about 3196.0876083111. The cubic root of 10214976 is about 216.9763754924.

The spelling of 10214976 in words is "ten million, two hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 641 664 996 1282 1328 1923 1992 2564 2656 3846 3984 5128 5312 7692 7968 10256 15384 15936 20512 30768 41024 53203 61536 106406 123072 159609 212812 319218 425624 638436 851248 1276872 1702496 2553744 3404992 5107488 10214976