Search a number
-
+
10921344 = 273717239
BaseRepresentation
bin101001101010…
…010110000000
3202112212021020
4221222112000
510243440334
61030025440
7161554440
oct51522600
922485236
1010921344
11618a405
1237a8280
132355045
141644120
15e5ae49
hexa6a580

10921344 has 128 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 2924544.

The previous prime is 10921321. The next prime is 10921363. The reversal of 10921344 is 44312901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45577 + ... + 45815.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 210921344 is an apocalyptic number.

10921344 is a gapful number since it is divisible by the number (14) 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 10921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

10921344 is an abundant number, since it is smaller than the sum of its proper divisors (24329856).

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

10921344 is a wasteful number, since it uses less digits than its factorization.

10921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10921344 is about 3304.7456785659. The cubic root of 10921344 is about 221.8666515142.

The spelling of 10921344 in words is "ten million, nine hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 239 272 336 357 384 408 448 476 478 544 672 714 717 816 896 952 956 1088 1344 1428 1434 1632 1673 1904 1912 2176 2688 2856 2868 3264 3346 3808 3824 4063 5019 5712 5736 6528 6692 7616 7648 8126 10038 11424 11472 12189 13384 15232 15296 16252 20076 22848 22944 24378 26768 28441 30592 32504 40152 45696 45888 48756 53536 56882 65008 80304 85323 91776 97512 107072 113764 130016 160608 170646 195024 214144 227528 260032 321216 341292 390048 455056 520064 642432 682584 780096 910112 1365168 1560192 1820224 2730336 3640448 5460672 10921344