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12145356 = 22331071051
BaseRepresentation
bin101110010101…
…001011001100
3211212001022000
4232111023030
511102122411
61112152300
7205143126
oct56251314
924761260
1012145356
116945a93
124098690
132693202
141882216
1510ed956
hexb952cc

12145356 has 48 divisors (see below), whose sum is σ = 31812480. Its totient is φ = 4006800.

The previous prime is 12145349. The next prime is 12145373. The reversal of 12145356 is 65354121.

12145356 is a `hidden beast` number, since 121 + 4 + 535 + 6 = 666.

12145356 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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11031 + ... + 12081.

It is an arithmetic number, because the mean of its divisors is an integer number (662760).

Almost surely, 212145356 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 12145356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906240).

12145356 is an abundant number, since it is smaller than the sum of its proper divisors (19667124).

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

12145356 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 12145356 = (56251314)8.

12145356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1163 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 12145356 is about 3485.0187947843. The cubic root of 12145356 is about 229.8635359361.

Adding to 12145356 its reverse (65354121), we get a palindrome (77499477).

The spelling of 12145356 in words is "twelve million, one hundred forty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1051 1284 1926 2102 2889 3153 3852 4204 5778 6306 9459 11556 12612 18918 28377 37836 56754 112457 113508 224914 337371 449828 674742 1012113 1349484 2024226 3036339 4048452 6072678 12145356