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10327092 = 22317233171
BaseRepresentation
bin100111011001…
…010000110100
3201102200002220
4213121100310
510120431332
61005202340
7153531066
oct47312064
921380086
1010327092
115913996
1235603b0
1321a7709
14152b736
15d8ed2c
hex9d9434

10327092 has 96 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 2956800.

The previous prime is 10327087. The next prime is 10327111. The reversal of 10327092 is 29072301.

It is an alternating number because its digits alternate between odd and even.

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 31 ways as a sum of consecutive naturals, for example, 145417 + ... + 145487.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 210327092 is an apocalyptic number.

10327092 is a gapful number since it is divisible by the number (12) 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 10327092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

10327092 is an abundant number, since it is smaller than the sum of its proper divisors (17542092).

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

10327092 is a wasteful number, since it uses less digits than its factorization.

10327092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10327092 is about 3213.5793128535. The cubic root of 10327092 is about 217.7673077555.

Adding to 10327092 its reverse (29072301), we get a palindrome (39399393).

The spelling of 10327092 in words is "ten million, three hundred twenty-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 12 17 23 31 34 46 51 62 68 69 71 92 93 102 124 138 142 186 204 213 276 284 372 391 426 527 713 782 852 1054 1173 1207 1426 1564 1581 1633 2108 2139 2201 2346 2414 2852 3162 3266 3621 4278 4402 4692 4828 4899 6324 6532 6603 7242 8556 8804 9798 12121 13206 14484 19596 24242 26412 27761 36363 37417 48484 50623 55522 72726 74834 83283 101246 111044 112251 145452 149668 151869 166566 202492 224502 303738 333132 449004 607476 860591 1721182 2581773 3442364 5163546 10327092