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12200384 = 267113241
BaseRepresentation
bin101110100010…
…100111000000
3211221211210002
4232202213000
511110403014
61113255132
7205462430
oct56424700
924854702
1012200384
116983369
1241044a8
1326b2281
1418982c0
15110edde
hexba29c0

12200384 has 56 divisors (see below), whose sum is σ = 28029408. Its totient is φ = 5160960.

The previous prime is 12200371. The next prime is 12200399. The reversal of 12200384 is 48300221.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50504 + ... + 50744.

Almost surely, 212200384 is an apocalyptic number.

12200384 is a gapful number since it is divisible by the number (14) 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 12200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014704).

12200384 is an abundant number, since it is smaller than the sum of its proper divisors (15829024).

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

12200384 is a wasteful number, since it uses less digits than its factorization.

12200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12200384 is about 3492.9048083222. The cubic root of 12200384 is about 230.2101670654.

The spelling of 12200384 in words is "twelve million, two hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 241 448 452 482 791 904 964 1582 1687 1808 1928 3164 3374 3616 3856 6328 6748 7232 7712 12656 13496 15424 25312 26992 27233 50624 53984 54466 107968 108932 190631 217864 381262 435728 762524 871456 1525048 1742912 3050096 6100192 12200384