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10680348 = 2237532399
BaseRepresentation
bin101000101111…
…100000011100
3202002121200110
4220233200130
510213232343
61020530020
7156532020
oct50574034
922077613
1010680348
116035338
1236b0910
13229c443
1415c0380
15e0e833
hexa2f81c

10680348 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2992704.

The previous prime is 10680311. The next prime is 10680353. The reversal of 10680348 is 84308601.

It is a happy number.

It is a super-2 number, since 2×106803482 = 228139666802208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3253 + ... + 5651.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 210680348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

10680348 is an abundant number, since it is smaller than the sum of its proper divisors (18350052).

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

10680348 is a wasteful number, since it uses less digits than its factorization.

10680348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10680348 is about 3268.0801703753. The cubic root of 10680348 is about 220.2225571492. Note that the first 3 decimals are identical.

Adding to 10680348 its reverse (84308601), we get a palindrome (94988949).

The spelling of 10680348 in words is "ten million, six hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 2399 4452 4798 7197 9596 14394 16793 28788 33586 50379 67172 100758 127147 201516 254294 381441 508588 762882 890029 1525764 1780058 2670087 3560116 5340174 10680348