Search a number
-
+
10660320 = 2532511673
BaseRepresentation
bin101000101010…
…100111100000
3202001121012200
4220222213200
510212112240
61020253200
7156416436
oct50524740
922047180
1010660320
116021290
1236a1200
1322932a8
1415b6d56
15e08930
hexa2a9e0

10660320 has 144 divisors (see below), whose sum is σ = 39744432. Its totient is φ = 2580480.

The previous prime is 10660291. The next prime is 10660333. The reversal of 10660320 is 2306601.

It is a happy number.

10660320 is a `hidden beast` number, since 1 + 0 + 660 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106603202 = 227284845004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10660293 and 10660302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15504 + ... + 16176.

It is an arithmetic number, because the mean of its divisors is an integer number (276003).

Almost surely, 210660320 is an apocalyptic number.

10660320 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 10660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872216).

10660320 is an abundant number, since it is smaller than the sum of its proper divisors (29084112).

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

10660320 is a wasteful number, since it uses less digits than its factorization.

10660320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10660320 is about 3265.0145482065. The cubic root of 10660320 is about 220.0848157819.

Adding to 10660320 its reverse (2306601), we get a palindrome (12966921).

The spelling of 10660320 in words is "ten million, six hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 673 720 792 880 990 1056 1320 1346 1440 1584 1760 1980 2019 2640 2692 3168 3365 3960 4038 5280 5384 6057 6730 7403 7920 8076 10095 10768 12114 13460 14806 15840 16152 20190 21536 22209 24228 26920 29612 30285 32304 37015 40380 44418 48456 53840 59224 60570 64608 66627 74030 80760 88836 96912 107680 111045 118448 121140 133254 148060 161520 177672 193824 222090 236896 242280 266508 296120 323040 333135 355344 444180 484560 533016 592240 666270 710688 888360 969120 1066032 1184480 1332540 1776720 2132064 2665080 3553440 5330160 10660320