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12028900 = 22521319487
BaseRepresentation
bin101101111000…
…101111100100
3211122010112211
4231320233210
511034411100
61105453204
7204146452
oct55705744
924563484
1012028900
116876544
124041204
1326521c0
1418519d2
1510c91ba
hexb78be4

12028900 has 72 divisors (see below), whose sum is σ = 29650880. Its totient is φ = 4199040.

The previous prime is 12028897. The next prime is 12028901. The reversal of 12028900 is 982021.

It is not an unprimeable number, because it can be changed into a prime (12028901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24457 + ... + 24943.

Almost surely, 212028900 is an apocalyptic number.

12028900 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 12028900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825440).

12028900 is an abundant number, since it is smaller than the sum of its proper divisors (17621980).

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

12028900 is a wasteful number, since it uses less digits than its factorization.

12028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 12028900 is about 3468.2704623486. The cubic root of 12028900 is about 229.1264913962.

The spelling of 12028900 in words is "twelve million, twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 487 494 650 950 974 988 1235 1300 1900 1948 2435 2470 4870 4940 6175 6331 9253 9740 12175 12350 12662 18506 24350 24700 25324 31655 37012 46265 48700 63310 92530 120289 126620 158275 185060 231325 240578 316550 462650 481156 601445 633100 925300 1202890 2405780 3007225 6014450 12028900