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12148353 = 3371719199
BaseRepresentation
bin101110010101…
…111010000001
3211212012102000
4232111322001
511102221403
61112214213
7205154640
oct56257201
924765360
1012148353
116948268
12409a369
132694699
141883357
1510ee7a3
hexb95e81

12148353 has 64 divisors (see below), whose sum is σ = 23040000. Its totient is φ = 6158592.

The previous prime is 12148351. The next prime is 12148363. The reversal of 12148353 is 35384121.

It is a happy number.

12148353 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12148353 - 21 = 12148351 is a prime.

It is a super-2 number, since 2×121483532 = 295164961225218, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12148351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60948 + ... + 61146.

It is an arithmetic number, because the mean of its divisors is an integer number (360000).

Almost surely, 212148353 is an apocalyptic number.

It is an amenable number.

12148353 is a deficient number, since it is larger than the sum of its proper divisors (10891647).

12148353 is a wasteful number, since it uses less digits than its factorization.

12148353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12148353 is about 3485.4487515957. The cubic root of 12148353 is about 229.8824414986.

The spelling of 12148353 in words is "twelve million, one hundred forty-eight thousand, three hundred fifty-three".

Divisors: 1 3 7 9 17 19 21 27 51 57 63 119 133 153 171 189 199 323 357 399 459 513 597 969 1071 1197 1393 1791 2261 2907 3213 3383 3591 3781 4179 5373 6783 8721 10149 11343 12537 20349 23681 26467 30447 34029 37611 61047 64277 71043 79401 91341 102087 192831 213129 238203 449939 578493 639387 714609 1349817 1735479 4049451 12148353