[go: up one dir, main page]

Search a number
-
+
12010320 = 2432572383
BaseRepresentation
bin101101110100…
…001101010000
3211121012001200
4231310031100
511033312240
61105231200
7204041340
oct55641520
924535050
1012010320
116863593
124032500
1326468ca
141848d20
1510c3930
hexb74350

12010320 has 120 divisors (see below), whose sum is σ = 46116096. Its totient is φ = 2744064.

The previous prime is 12010319. The next prime is 12010357. The reversal of 12010320 is 2301021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 23 ways as a sum of consecutive naturals, for example, 3849 + ... + 6231.

Almost surely, 212010320 is an apocalyptic number.

12010320 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 12010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23058048).

12010320 is an abundant number, since it is smaller than the sum of its proper divisors (34105776).

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

12010320 is a wasteful number, since it uses less digits than its factorization.

12010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12010320 is about 3465.5908587137. The cubic root of 12010320 is about 229.0084599889.

Adding to 12010320 its reverse (2301021), we get a palindrome (14311341).

It can be divided in two parts, 120 and 10320, that added together give a triangular number (10440 = T144).

The spelling of 12010320 in words is "twelve million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2383 2520 4766 5040 7149 9532 11915 14298 16681 19064 21447 23830 28596 33362 35745 38128 42894 47660 50043 57192 66724 71490 83405 85788 95320 100086 107235 114384 133448 142980 150129 166810 171576 190640 200172 214470 250215 266896 285960 300258 333620 343152 400344 428940 500430 571920 600516 667240 750645 800688 857880 1000860 1201032 1334480 1501290 1715760 2001720 2402064 3002580 4003440 6005160 12010320