Search a number
-
+
4107312 = 2432112593
BaseRepresentation
bin1111101010110000110000
321201200011200
433222300300
52022413222
6224011200
746624446
oct17526060
97650150
104107312
112355980
121460b00
13b0a681
1478cb96
15561eac
hex3eac30

4107312 has 60 divisors (see below), whose sum is σ = 12544584. Its totient is φ = 1244160.

The previous prime is 4107281. The next prime is 4107329. The reversal of 4107312 is 2137014.

4107312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288 + ... + 2880.

Almost surely, 24107312 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 4107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272292).

4107312 is an abundant number, since it is smaller than the sum of its proper divisors (8437272).

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

4107312 is a wasteful number, since it uses less digits than its factorization.

4107312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4107312 is about 2026.6504385315. The cubic root of 4107312 is about 160.1471562816.

The spelling of 4107312 in words is "four million, one hundred seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2593 5186 7779 10372 15558 20744 23337 28523 31116 41488 46674 57046 62232 85569 93348 114092 124464 171138 186696 228184 256707 342276 373392 456368 513414 684552 1026828 1369104 2053656 4107312