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12153000 = 233534051
BaseRepresentation
bin101110010111…
…000010101000
3211212102210010
4232113002220
511102344000
61112251520
7205204326
oct56270250
924772703
1012153000
116950802
1240a0ba0
132696832
141884d16
151100d50
hexb970a8

12153000 has 64 divisors (see below), whose sum is σ = 37926720. Its totient is φ = 3240000.

The previous prime is 12152971. The next prime is 12153013. The reversal of 12153000 is 35121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (592605).

Almost surely, 212153000 is an apocalyptic number.

12153000 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 12153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18963360).

12153000 is an abundant number, since it is smaller than the sum of its proper divisors (25773720).

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

12153000 is a wasteful number, since it uses less digits than its factorization.

12153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 12153000 is about 3486.1153165092. The cubic root of 12153000 is about 229.9117493815.

Adding to 12153000 its reverse (35121), we get a palindrome (12188121).

The spelling of 12153000 in words is "twelve million, one hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4051 8102 12153 16204 20255 24306 32408 40510 48612 60765 81020 97224 101275 121530 162040 202550 243060 303825 405100 486120 506375 607650 810200 1012750 1215300 1519125 2025500 2430600 3038250 4051000 6076500 12153000