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12048100 = 2252211571
BaseRepresentation
bin101101111101…
…011011100100
3211200002212221
4231331123210
511041014400
61110122124
7204256441
oct55753344
924602787
1012048100
116889a09
124050344
13265ab6c
1418589c8
1510cec1a
hexb7d6e4

12048100 has 36 divisors (see below), whose sum is σ = 26314288. Its totient is φ = 4788000.

The previous prime is 12048083. The next prime is 12048131. The reversal of 12048100 is 184021.

It is a happy number.

It is a super-2 number, since 2×120481002 = 290313427220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20815 + ... + 21385.

Almost surely, 212048100 is an apocalyptic number.

12048100 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 12048100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13157144).

12048100 is an abundant number, since it is smaller than the sum of its proper divisors (14266188).

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

12048100 is a wasteful number, since it uses less digits than its factorization.

12048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 12048100 is about 3471.0373089323. The cubic root of 12048100 is about 229.2483337949.

The spelling of 12048100 in words is "twelve million, forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 571 844 1055 1142 2110 2284 2855 4220 5275 5710 10550 11420 14275 21100 28550 57100 120481 240962 481924 602405 1204810 2409620 3012025 6024050 12048100