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10133214 = 2371367277
BaseRepresentation
bin100110101001…
…111011011110
3201001211011020
4212221323132
510043230324
61001105010
7152062620
oct46517336
921054136
1010133214
1157a1263
123488166
13213a3b0
1414bac10
15d52679
hex9a9ede

10133214 has 64 divisors (see below), whose sum is σ = 25406976. Its totient is φ = 2623104.

The previous prime is 10133159. The next prime is 10133269. The reversal of 10133214 is 41233101.

It is an interprime number because it is at equal distance from previous prime (10133159) and next prime (10133269).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10133193 and 10133202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36444 + ... + 36720.

It is an arithmetic number, because the mean of its divisors is an integer number (396984).

Almost surely, 210133214 is an apocalyptic number.

10133214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703488).

10133214 is an abundant number, since it is smaller than the sum of its proper divisors (15273762).

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

10133214 is a wasteful number, since it uses less digits than its factorization.

10133214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10133214 is about 3183.2709592493. The cubic root of 10133214 is about 216.3959216491.

Adding to 10133214 its reverse (41233101), we get a palindrome (51366315).

The spelling of 10133214 in words is "ten million, one hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 67 78 91 134 182 201 273 277 402 469 546 554 831 871 938 1407 1662 1742 1939 2613 2814 3601 3878 5226 5817 6097 7202 10803 11634 12194 18291 18559 21606 25207 36582 37118 50414 55677 75621 111354 129913 151242 241267 259826 389739 482534 723801 779478 1447602 1688869 3377738 5066607 10133214