Search a number
-
+
12031920 = 2432517983
BaseRepresentation
bin101101111001…
…011110110000
3211122021200200
4231321132300
511040010140
61105515200
7204161325
oct55713660
924567620
1012031920
11687883a
124042b00
1326536a4
141852b4c
1510ca030
hexb797b0

12031920 has 120 divisors (see below), whose sum is σ = 42827616. Its totient is φ = 3016704.

The previous prime is 12031913. The next prime is 12031931. The reversal of 12031920 is 2913021.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12031893 and 12031902.

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, 11749 + ... + 12731.

Almost surely, 212031920 is an apocalyptic number.

12031920 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 12031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413808).

12031920 is an abundant number, since it is smaller than the sum of its proper divisors (30795696).

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

12031920 is a wasteful number, since it uses less digits than its factorization.

12031920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1010 counting only the distinct ones).

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

The square root of 12031920 is about 3468.7058105293. The cubic root of 12031920 is about 229.1456647787.

Adding to 12031920 its reverse (2913021), we get a palindrome (14944941).

The spelling of 12031920 in words is "twelve million, thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 983 1020 1224 1360 1530 1966 2040 2448 2949 3060 3932 4080 4915 5898 6120 7864 8847 9830 11796 12240 14745 15728 16711 17694 19660 23592 29490 33422 35388 39320 44235 47184 50133 58980 66844 70776 78640 83555 88470 100266 117960 133688 141552 150399 167110 176940 200532 235920 250665 267376 300798 334220 353880 401064 501330 601596 668440 707760 751995 802128 1002660 1203192 1336880 1503990 2005320 2406384 3007980 4010640 6015960 12031920