Search a number
-
+
10923120 = 24 ⋅ 33 ⋅ 5 ⋅ 13 ⋅ 389
BaseRepresentation
bin101001101010…
……110001110000
3202112221201000
4221222301300
510244014440
61030042000
7161562555
oct51526160
922487630
1010923120
11619077a
1237a9300
132355ab0
141644a2c
15e5b730
hexa6ac70

Search a number

(max 15 digits)

10923120 has 160 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 2681856.

The previous prime is 10923113. The next prime is 10923127. The reversal of 10923120 is 2132901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10923113) and next prime (10923127).

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 = 10923093 and 10923102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10923127) by changing a digit.

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, 27886 + ... + 28274.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 210923120 is an apocalyptic number.

10923120 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 10923120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

10923120 is an abundant number, since it is smaller than the sum of its proper divisors (29699280).

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

10923120 is a wasteful number, since it uses less digits than its factorization.

10923120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10923120 is about 3305.0143721321. The cubic root of 10923120 is about 221.8786773179.

The spelling of 10923120 in words is "ten million, nine hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 389 390 432 468 520 540 585 624 702 720 778 780 936 1040 1080 1167 1170 1404 1556 1560 1755 1872 1945 2160 2334 2340 2808 3112 3120 3501 3510 3890 4668 4680 5057 5616 5835 6224 7002 7020 7780 9336 9360 10114 10503 11670 14004 14040 15171 15560 17505 18672 20228 21006 23340 25285 28008 28080 30342 31120 35010 40456 42012 45513 46680 50570 52515 56016 60684 70020 75855 80912 84024 91026 93360 101140 105030 121368 136539 140040 151710 168048 182052 202280 210060 227565 242736 273078 280080 303420 364104 404560 420120 455130 546156 606840 682695 728208 840240 910260 1092312 1213680 1365390 1820520 2184624 2730780 3641040 5461560 10923120