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10555314 = 2371123167
BaseRepresentation
bin101000010000…
…111110110010
3201212021011120
4220100332302
510200232224
61014123110
7155501340
oct50207662
921767146
1010555314
115a5a400
123650496
132257563
14158a990
15dd7779
hexa10fb2

10555314 has 96 divisors (see below), whose sum is σ = 27783168. Its totient is φ = 2613600.

The previous prime is 10555301. The next prime is 10555319. The reversal of 10555314 is 41355501.

It is a super-2 number, since 2×105553142 = 222829307277192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10555319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 157509 + ... + 157575.

It is an arithmetic number, because the mean of its divisors is an integer number (289408).

Almost surely, 210555314 is an apocalyptic number.

10555314 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 10555314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891584).

10555314 is an abundant number, since it is smaller than the sum of its proper divisors (17227854).

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

10555314 is a wasteful number, since it uses less digits than its factorization.

10555314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 10555314 is about 3248.8942734414. The cubic root of 10555314 is about 219.3598055239.

The spelling of 10555314 in words is "ten million, five hundred fifty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 67 77 93 121 134 154 186 201 217 231 242 341 363 402 434 462 469 651 682 726 737 847 938 1023 1302 1407 1474 1694 2046 2077 2211 2387 2541 2814 3751 4154 4422 4774 5082 5159 6231 7161 7502 8107 10318 11253 12462 14322 14539 15477 16214 22506 22847 24321 26257 29078 30954 43617 45694 48642 52514 56749 68541 78771 87234 113498 137082 157542 159929 170247 251317 319858 340494 479787 502634 753951 959574 1507902 1759219 3518438 5277657 10555314