Search a number
-
+
12289500 = 2232532731
BaseRepresentation
bin101110111000…
…010111011100
3212010101000200
4232320113130
511121231000
61115223500
7206313306
oct56702734
925111020
1012289500
116a34313
124147b90
1327139c2
1418bc976
15112b500
hexbb85dc

12289500 has 72 divisors (see below), whose sum is σ = 38783472. Its totient is φ = 3276000.

The previous prime is 12289499. The next prime is 12289507. The reversal of 12289500 is 598221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12289507) 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, 3135 + ... + 5865.

Almost surely, 212289500 is an apocalyptic number.

12289500 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 12289500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391736).

12289500 is an abundant number, since it is smaller than the sum of its proper divisors (26493972).

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

12289500 is a wasteful number, since it uses less digits than its factorization.

12289500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12289500 is about 3505.6383156281. The cubic root of 12289500 is about 230.7693205128.

The spelling of 12289500 in words is "twelve million, two hundred eighty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 2731 4500 5462 8193 10924 13655 16386 24579 27310 32772 40965 49158 54620 68275 81930 98316 122895 136550 163860 204825 245790 273100 341375 409650 491580 614475 682750 819300 1024125 1228950 1365500 2048250 2457900 3072375 4096500 6144750 12289500