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10329088 = 210711131
BaseRepresentation
bin100111011001…
…110000000000
3201102202211211
4213121300000
510121012323
61005215504
7153536650
oct47316000
921382754
1010329088
115915440
123561594
1321a85b3
14152c360
15d9070d
hex9d9c00

10329088 has 88 divisors (see below), whose sum is σ = 25939584. Its totient is φ = 3993600.

The previous prime is 10329061. The next prime is 10329091. The reversal of 10329088 is 88092301.

10329088 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78783 + ... + 78913.

It is an arithmetic number, because the mean of its divisors is an integer number (294768).

Almost surely, 210329088 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 10329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969792).

10329088 is an abundant number, since it is smaller than the sum of its proper divisors (15610496).

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

10329088 is a wasteful number, since it uses less digits than its factorization.

10329088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10329088 is about 3213.8898549888. The cubic root of 10329088 is about 217.7813367305.

The spelling of 10329088 in words is "ten million, three hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 131 154 176 224 256 262 308 352 448 512 524 616 704 896 917 1024 1048 1232 1408 1441 1792 1834 2096 2464 2816 2882 3584 3668 4192 4928 5632 5764 7168 7336 8384 9856 10087 11264 11528 14672 16768 19712 20174 23056 29344 33536 39424 40348 46112 58688 67072 78848 80696 92224 117376 134144 161392 184448 234752 322784 368896 469504 645568 737792 939008 1291136 1475584 2582272 5164544 10329088