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12142500 = 223541619
BaseRepresentation
bin101110010100…
…011110100100
3211211220101020
4232110132210
511102030000
61112131140
7205131606
oct56243644
924756336
1012142500
116943927
124096ab0
132691b16
141881176
1510ecba0
hexb947a4

12142500 has 60 divisors (see below), whose sum is σ = 35426160. Its totient is φ = 3236000.

The previous prime is 12142499. The next prime is 12142511. The reversal of 12142500 is 524121.

12142500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12142500.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6691 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (590436).

Almost surely, 212142500 is an apocalyptic number.

12142500 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 12142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713080).

12142500 is an abundant number, since it is smaller than the sum of its proper divisors (23283660).

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

12142500 is a wasteful number, since it uses less digits than its factorization.

12142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12142500 is about 3484.6090168052. The cubic root of 12142500 is about 229.8455169302.

Adding to 12142500 its reverse (524121), we get a palindrome (12666621).

The spelling of 12142500 in words is "twelve million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1619 1875 2500 3238 3750 4857 6476 7500 8095 9714 16190 19428 24285 32380 40475 48570 80950 97140 121425 161900 202375 242850 404750 485700 607125 809500 1011875 1214250 2023750 2428500 3035625 4047500 6071250 12142500