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12928432 = 24111729149
BaseRepresentation
bin110001010100…
…010110110000
3220022211110211
4301110112300
511302202212
61141033504
7214614136
oct61242660
926284424
1012928432
117330360
1243b5894
1328a877a
141a07756
1512059a7
hexc545b0

12928432 has 80 divisors (see below), whose sum is σ = 30132000. Its totient is φ = 5304320.

The previous prime is 12928427. The next prime is 12928439. The reversal of 12928432 is 23482921.

It is a junction number, because it is equal to n+sod(n) for n = 12928394 and 12928403.

It is not an unprimeable number, because it can be changed into a prime (12928439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86694 + ... + 86842.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 212928432 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 12928432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066000).

12928432 is an abundant number, since it is smaller than the sum of its proper divisors (17203568).

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

12928432 is a wasteful number, since it uses less digits than its factorization.

12928432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 12928432 is about 3595.6128823888. The cubic root of 12928432 is about 234.7011865254.

It can be divided in two parts, 129 and 28432, that added together give a 4-th power (28561 = 134).

The spelling of 12928432 in words is "twelve million, nine hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 68 88 116 136 149 176 187 232 272 298 319 374 464 493 596 638 748 986 1192 1276 1496 1639 1972 2384 2533 2552 2992 3278 3944 4321 5066 5104 5423 6556 7888 8642 10132 10846 13112 17284 20264 21692 26224 27863 34568 40528 43384 47531 55726 69136 73457 86768 95062 111452 146914 190124 222904 293828 380248 445808 587656 760496 808027 1175312 1616054 3232108 6464216 12928432