Search a number
-
+
12951432 = 233213101137
BaseRepresentation
bin110001011001…
…111110001000
3220101000000200
4301121332020
511303421212
61141332200
7215041164
oct61317610
926330020
1012951432
11734666a
124407060
1328b6090
141a11ca4
15120c6dc
hexc59f88

12951432 has 96 divisors (see below), whose sum is σ = 38427480. Its totient is φ = 3916800.

The previous prime is 12951431. The next prime is 12951457. The reversal of 12951432 is 23415921.

12951432 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 can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 799236 = 3486^2 + 894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12951396 and 12951405.

It is not an unprimeable number, because it can be changed into a prime (12951431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94468 + ... + 94604.

Almost surely, 212951432 is an apocalyptic number.

12951432 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 12951432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213740).

12951432 is an abundant number, since it is smaller than the sum of its proper divisors (25476048).

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

12951432 is a wasteful number, since it uses less digits than its factorization.

12951432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12951432 is about 3598.8098032544. The cubic root of 12951432 is about 234.8402838089.

The spelling of 12951432 in words is "twelve million, nine hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 137 156 202 234 274 303 312 404 411 468 548 606 808 822 909 936 1096 1212 1233 1313 1644 1781 1818 2424 2466 2626 3288 3562 3636 3939 4932 5252 5343 7124 7272 7878 9864 10504 10686 11817 13837 14248 15756 16029 21372 23634 27674 31512 32058 41511 42744 47268 55348 64116 83022 94536 110696 124533 128232 166044 179881 249066 332088 359762 498132 539643 719524 996264 1079286 1439048 1618929 2158572 3237858 4317144 6475716 12951432