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12512070 = 235519271
BaseRepresentation
bin101111101110…
…101101000110
3212112200100000
4233232231012
511200341240
61124102130
7211231224
oct57565506
925480300
1012512070
11707655a
124234946
1327910bc
141939b14
151172430
hexbeeb46

12512070 has 96 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 3149280.

The previous prime is 12512063. The next prime is 12512077. The reversal of 12512070 is 7021521.

It is an interprime number because it is at equal distance from previous prime (12512063) and next prime (12512077).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12512077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46035 + ... + 46305.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 212512070 is an apocalyptic number.

12512070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12512070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

12512070 is an abundant number, since it is smaller than the sum of its proper divisors (23130810).

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

12512070 is a wasteful number, since it uses less digits than its factorization.

12512070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12512070 is about 3537.2404498422. The cubic root of 12512070 is about 232.1541162868.

Adding to 12512070 its reverse (7021521), we get a palindrome (19533591).

It can be divided in two parts, 1251 and 2070, that added together give a triangular number (3321 = T81).

The spelling of 12512070 in words is "twelve million, five hundred twelve thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 271 285 342 405 486 513 542 570 810 813 855 1026 1215 1355 1539 1626 1710 2430 2439 2565 2710 3078 4065 4617 4878 5130 5149 7317 7695 8130 9234 10298 12195 14634 15390 15447 21951 23085 24390 25745 30894 36585 43902 46170 46341 51490 65853 73170 77235 92682 109755 131706 139023 154470 219510 231705 278046 329265 417069 463410 658530 695115 834138 1251207 1390230 2085345 2502414 4170690 6256035 12512070