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12193038 = 23311131579
BaseRepresentation
bin101110100000…
…110100001110
3211221110201000
4232200310032
511110134123
61113201130
7205432134
oct56406416
924843630
1012193038
1169788a0
1241001a6
1326abb20
141895754
15110cb43
hexba0d0e

12193038 has 64 divisors (see below), whose sum is σ = 31852800. Its totient is φ = 3408480.

The previous prime is 12193033. The next prime is 12193081. The reversal of 12193038 is 83039121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12193033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6933 + ... + 8511.

It is an arithmetic number, because the mean of its divisors is an integer number (497700).

Almost surely, 212193038 is an apocalyptic number.

12193038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12193038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926400).

12193038 is an abundant number, since it is smaller than the sum of its proper divisors (19659762).

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

12193038 is a wasteful number, since it uses less digits than its factorization.

12193038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12193038 is about 3491.8530896932. The cubic root of 12193038 is about 230.1639536726.

The spelling of 12193038 in words is "twelve million, one hundred ninety-three thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 1579 2574 3158 3861 4737 7722 9474 14211 17369 20527 28422 34738 41054 42633 52107 61581 85266 104214 123162 156321 184743 225797 312642 369486 451594 468963 554229 677391 937926 1108458 1354782 2032173 4064346 6096519 12193038