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12197328 = 24311131777
BaseRepresentation
bin101110100001…
…110111010000
3211221200120220
4232201313100
511110303303
61113233040
7205450503
oct56416720
924850526
1012197328
116981040
124102780
1326b0a70
14189713a
15110e053
hexba1dd0

12197328 has 80 divisors (see below), whose sum is σ = 37039296. Its totient is φ = 3409920.

The previous prime is 12197323. The next prime is 12197329. The reversal of 12197328 is 82379121.

12197328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12197321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5976 + ... + 7752.

Almost surely, 212197328 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 12197328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519648).

12197328 is an abundant number, since it is smaller than the sum of its proper divisors (24841968).

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

12197328 is a wasteful number, since it uses less digits than its factorization.

12197328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 12197328 is about 3492.4673226818. The cubic root of 12197328 is about 230.1909441454.

The spelling of 12197328 in words is "twelve million, one hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 1777 2288 3432 3554 5331 6864 7108 10662 14216 19547 21324 23101 28432 39094 42648 46202 58641 69303 78188 85296 92404 117282 138606 156376 184808 234564 254111 277212 312752 369616 469128 508222 554424 762333 938256 1016444 1108848 1524666 2032888 3049332 4065776 6098664 12197328