Search a number
-
+
12157140 = 2235533823
BaseRepresentation
bin101110011000…
…000011010100
3211212122110110
4232120003110
511103012030
61112323020
7205222362
oct56300324
924778413
1012157140
116953926
1240a3470
132698698
141886632
1511021b0
hexb980d4

12157140 has 48 divisors (see below), whose sum is σ = 34691328. Its totient is φ = 3179904.

The previous prime is 12157139. The next prime is 12157141. The reversal of 12157140 is 4175121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12157139) and next prime (12157141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157141) 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, 1269 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (722736).

Almost surely, 212157140 is an apocalyptic number.

12157140 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 12157140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345664).

12157140 is an abundant number, since it is smaller than the sum of its proper divisors (22534188).

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

12157140 is a wasteful number, since it uses less digits than its factorization.

12157140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 12157140 is about 3486.7090500929. The cubic root of 12157140 is about 229.9378534047.

The spelling of 12157140 in words is "twelve million, one hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3823 7646 11469 15292 19115 22938 38230 45876 57345 76460 114690 202619 229380 405238 607857 810476 1013095 1215714 2026190 2431428 3039285 4052380 6078570 12157140