Search a number
-
+
12037140 = 2233522291
BaseRepresentation
bin101101111010…
…110000010100
3211122112212000
4231322300110
511040142030
61105555300
7204212463
oct55726024
924575760
1012037140
116881755
124045b30
132655b8b
1418549da
1510cb860
hexb7ac14

12037140 has 48 divisors (see below), whose sum is σ = 37450560. Its totient is φ = 3209760.

The previous prime is 12037097. The next prime is 12037141. The reversal of 12037140 is 4173021.

12037140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12037141) 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, 10606 + ... + 11685.

It is an arithmetic number, because the mean of its divisors is an integer number (780220).

Almost surely, 212037140 is an apocalyptic number.

12037140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12037140 is an abundant number, since it is smaller than the sum of its proper divisors (25413420).

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

12037140 is a wasteful number, since it uses less digits than its factorization.

12037140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22309 (or 22301 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12037140 is about 3469.4581709541. The cubic root of 12037140 is about 229.1787979620.

The spelling of 12037140 in words is "twelve million, thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22291 44582 66873 89164 111455 133746 200619 222910 267492 334365 401238 445820 601857 668730 802476 1003095 1203714 1337460 2006190 2407428 3009285 4012380 6018570 12037140