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12190368 = 253235521
BaseRepresentation
bin101110100000…
…001010100000
3211221100001010
4232200022200
511110042433
61113140520
7205421301
oct56401240
924840033
1012190368
116976893
1240ba740
1326aa848
1418947a8
15110be63
hexba02a0

12190368 has 48 divisors (see below), whose sum is σ = 33397056. Its totient is φ = 3886080.

The previous prime is 12190363. The next prime is 12190369. The reversal of 12190368 is 86309121.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12190361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553 + ... + 4968.

It is an arithmetic number, because the mean of its divisors is an integer number (695772).

Almost surely, 212190368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12190368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698528).

12190368 is an abundant number, since it is smaller than the sum of its proper divisors (21206688).

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

12190368 is a wasteful number, since it uses less digits than its factorization.

12190368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 12190368 is about 3491.4707502713. The cubic root of 12190368 is about 230.1471522099.

Adding to 12190368 its reverse (86309121), we get a palindrome (98499489).

The spelling of 12190368 in words is "twelve million, one hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5521 11042 16563 22084 33126 44168 66252 88336 126983 132504 176672 253966 265008 380949 507932 530016 761898 1015864 1523796 2031728 3047592 4063456 6095184 12190368