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12136152 = 2337294753
BaseRepresentation
bin101110010010…
…111011011000
3211211120200010
4232102323120
511101324102
61112041520
7205104240
oct56227330
924746603
1012136152
11693a086
1240932a0
13268bc72
14187cb20
1510ead6c
hexb92ed8

12136152 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 3214848.

The previous prime is 12136151. The next prime is 12136171. The reversal of 12136152 is 25163121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228958 + ... + 229010.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 212136152 is an apocalyptic number.

12136152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12136152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

12136152 is an abundant number, since it is smaller than the sum of its proper divisors (25188648).

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

12136152 is a wasteful number, since it uses less digits than its factorization.

12136152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 12136152 is about 3483.6980351345. The cubic root of 12136152 is about 229.8054561608.

Adding to 12136152 its reverse (25163121), we get a palindrome (37299273).

The spelling of 12136152 in words is "twelve million, one hundred thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 47 53 56 58 84 87 94 106 116 141 159 168 174 188 203 212 232 282 318 329 348 371 376 406 424 564 609 636 658 696 742 812 987 1113 1128 1218 1272 1316 1363 1484 1537 1624 1974 2226 2436 2491 2632 2726 2968 3074 3948 4089 4452 4611 4872 4982 5452 6148 7473 7896 8178 8904 9222 9541 9964 10759 10904 12296 14946 16356 17437 18444 19082 19928 21518 28623 29892 32277 32712 34874 36888 38164 43036 52311 57246 59784 64554 69748 72239 76328 86072 104622 114492 129108 139496 144478 209244 216717 228984 258216 288956 418488 433434 505673 577912 866868 1011346 1517019 1733736 2022692 3034038 4045384 6068076 12136152