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12539772 = 223571997
BaseRepresentation
bin101111110101…
…011101111100
3212121002100000
4233311131330
511202233042
61124434300
7211405050
oct57653574
925532300
1012539772
117095353
124248990
1327a08ab
141945c60
15117a74c
hexbf577c

12539772 has 144 divisors (see below), whose sum is σ = 39952640. Its totient is φ = 3359232.

The previous prime is 12539771. The next prime is 12539777. The reversal of 12539772 is 27793521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12539771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129228 + ... + 129324.

Almost surely, 212539772 is an apocalyptic number.

12539772 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 12539772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976320).

12539772 is an abundant number, since it is smaller than the sum of its proper divisors (27412868).

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

12539772 is a wasteful number, since it uses less digits than its factorization.

12539772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12539772 is about 3541.1540491766. The cubic root of 12539772 is about 232.3253214494.

It can be divided in two parts, 1253 and 9772, that added together give a square (11025 = 1052).

The spelling of 12539772 in words is "twelve million, five hundred thirty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 97 108 114 126 133 162 171 189 194 228 243 252 266 291 324 342 378 388 399 486 513 532 567 582 679 684 756 798 873 972 1026 1134 1164 1197 1358 1539 1596 1701 1746 1843 2037 2052 2268 2394 2619 2716 3078 3402 3492 3591 3686 4074 4617 4788 5238 5529 6111 6156 6804 7182 7372 7857 8148 9234 10476 10773 11058 12222 12901 14364 15714 16587 18333 18468 21546 22116 23571 24444 25802 31428 32319 33174 36666 38703 43092 47142 49761 51604 54999 64638 66348 73332 77406 94284 99522 109998 116109 129276 149283 154812 164997 199044 219996 232218 298566 329994 348327 447849 464436 597132 659988 696654 895698 1044981 1393308 1791396 2089962 3134943 4179924 6269886 12539772