Search a number
-
+
12130080 = 253537683
BaseRepresentation
bin101110010001…
…011100100000
3211211021100020
4232101130200
511101130310
61111553440
7205050444
oct56213440
924737306
1012130080
116935566
12408b880
132689281
14187a824
1510e9170
hexb91720

12130080 has 96 divisors (see below), whose sum is σ = 39299904. Its totient is φ = 3142656.

The previous prime is 12130073. The next prime is 12130087. The reversal of 12130080 is 8003121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12130073) and next prime (12130087).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12130087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17419 + ... + 18101.

It is an arithmetic number, because the mean of its divisors is an integer number (409374).

Almost surely, 212130080 is an apocalyptic number.

12130080 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 12130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649952).

12130080 is an abundant number, since it is smaller than the sum of its proper divisors (27169824).

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

12130080 is a wasteful number, since it uses less digits than its factorization.

12130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12130080 is about 3482.8264383974. The cubic root of 12130080 is about 229.7671240902.

The spelling of 12130080 in words is "twelve million, one hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 683 740 888 1110 1184 1366 1480 1776 2049 2220 2732 2960 3415 3552 4098 4440 5464 5920 6830 8196 8880 10245 10928 13660 16392 17760 20490 21856 25271 27320 32784 40980 50542 54640 65568 75813 81960 101084 109280 126355 151626 163920 202168 252710 303252 327840 379065 404336 505420 606504 758130 808672 1010840 1213008 1516260 2021680 2426016 3032520 4043360 6065040 12130080