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12002900 = 22527131319
BaseRepresentation
bin101101110010…
…011001010100
3211120210212212
4231302121110
511033043100
61105132552
7204010610
oct55623124
924523785
1012002900
116858a58
12402a158
132643410
141846340
1510c1635
hexb72654

12002900 has 72 divisors (see below), whose sum is σ = 32081280. Its totient is φ = 3795840.

The previous prime is 12002869. The next prime is 12002917. The reversal of 12002900 is 920021.

12002900 is digitally balanced in base 2, because in such base 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 (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8441 + ... + 9759.

Almost surely, 212002900 is an apocalyptic number.

12002900 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 12002900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040640).

12002900 is an abundant number, since it is smaller than the sum of its proper divisors (20078380).

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

12002900 is a wasteful number, since it uses less digits than its factorization.

12002900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 12002900 is about 3464.5201687968. The cubic root of 12002900 is about 228.9612896436.

Adding to 12002900 its reverse (920021), we get a palindrome (12922921).

The spelling of 12002900 in words is "twelve million, two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1319 1820 2275 2638 4550 5276 6595 9100 9233 13190 17147 18466 26380 32975 34294 36932 46165 65950 68588 85735 92330 120029 131900 171470 184660 230825 240058 342940 428675 461650 480116 600145 857350 923300 1200290 1714700 2400580 3000725 6001450 12002900