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10214680 = 23571912
BaseRepresentation
bin100110111101…
…110100011000
3201012221220111
4212331310120
510103332210
61002534104
7152552260
oct46756430
921187814
1010214680
115847493
123507334
1321684b8
1414dc7a0
15d6b88a
hex9bdd18

10214680 has 48 divisors (see below), whose sum is σ = 26404560. Its totient is φ = 3483840.

The previous prime is 10214663. The next prime is 10214681. The reversal of 10214680 is 8641201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214681) 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 11 ways as a sum of consecutive naturals, for example, 53385 + ... + 53575.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 210214680 is an apocalyptic number.

10214680 is a gapful number since it is divisible by the number (10) 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 10214680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202280).

10214680 is an abundant number, since it is smaller than the sum of its proper divisors (16189880).

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

10214680 is an equidigital number, since it uses as much as digits as its factorization.

10214680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10214680 is about 3196.0413013602. The cubic root of 10214680 is about 216.9742796928.

Adding to 10214680 its reverse (8641201), we get a palindrome (18855881).

The spelling of 10214680 in words is "ten million, two hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 382 764 955 1337 1528 1910 2674 3820 5348 6685 7640 10696 13370 26740 36481 53480 72962 145924 182405 255367 291848 364810 510734 729620 1021468 1276835 1459240 2042936 2553670 5107340 10214680