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10964320 = 2551729139
BaseRepresentation
bin101001110100…
…110101100000
3202122001012221
4221310311200
510301324240
61031000424
7162123643
oct51646540
922561187
1010964320
116209724
123809114
13236b783
141655a5a
15e68a4a
hexa74d60

10964320 has 96 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 3956736.

The previous prime is 10964309. The next prime is 10964333. The reversal of 10964320 is 2346901.

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 15 ways as a sum of consecutive naturals, for example, 78811 + ... + 78949.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 210964320 is an apocalyptic number.

10964320 is a gapful number since it is divisible by the number (10) 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 10964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

10964320 is an abundant number, since it is smaller than the sum of its proper divisors (17612480).

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

10964320 is a wasteful number, since it uses less digits than its factorization.

10964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 10964320 is about 3311.2414590301. The cubic root of 10964320 is about 222.1572891766.

The spelling of 10964320 in words is "ten million, nine hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 139 145 160 170 232 272 278 290 340 464 493 544 556 580 680 695 928 986 1112 1160 1360 1390 1972 2224 2320 2363 2465 2720 2780 3944 4031 4448 4640 4726 4930 5560 7888 8062 9452 9860 11120 11815 15776 16124 18904 19720 20155 22240 23630 32248 37808 39440 40310 47260 64496 68527 75616 78880 80620 94520 128992 137054 161240 189040 274108 322480 342635 378080 548216 644960 685270 1096432 1370540 2192864 2741080 5482160 10964320