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12049100 = 2252722459
BaseRepresentation
bin101101111101…
…101011001100
3211200011020222
4231331223030
511041032400
61110130512
7204262400
oct55755314
924604228
1012049100
11688a738
124050a38
13265b45b
141859100
1510d0185
hexb7dacc

12049100 has 54 divisors (see below), whose sum is σ = 30427740. Its totient is φ = 4129440.

The previous prime is 12049099. The next prime is 12049109. The reversal of 12049100 is 194021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12049109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3671 + ... + 6129.

Almost surely, 212049100 is an apocalyptic number.

12049100 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 12049100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213870).

12049100 is an abundant number, since it is smaller than the sum of its proper divisors (18378640).

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

12049100 is a wasteful number, since it uses less digits than its factorization.

12049100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12049100 is about 3471.1813551009. The cubic root of 12049100 is about 229.2546762055.

The spelling of 12049100 in words is "twelve million, forty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 2459 4900 4918 9836 12295 17213 24590 34426 49180 61475 68852 86065 120491 122950 172130 240982 245900 344260 430325 481964 602455 860650 1204910 1721300 2409820 3012275 6024550 12049100