Search a number
-
+
31206144 = 283179227
BaseRepresentation
bin111011100001…
…0101100000000
32011201102210010
41313002230000
530442044034
63032504520
7526151004
oct167025400
964642703
1031206144
1116684702
12a54b140
136607c98
144204704
152b163e9
hex1dc2b00

31206144 has 72 divisors (see below), whose sum is σ = 83885760. Its totient is φ = 10298368.

The previous prime is 31206143. The next prime is 31206157. The reversal of 31206144 is 44160213.

It is a self number, because there is not a number n which added to its sum of digits gives 31206144.

It is not an unprimeable number, because it can be changed into a prime (31206143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137359 + ... + 137585.

It is an arithmetic number, because the mean of its divisors is an integer number (1165080).

Almost surely, 231206144 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 31206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942880).

31206144 is an abundant number, since it is smaller than the sum of its proper divisors (52679616).

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

31206144 is a wasteful number, since it uses less digits than its factorization.

31206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 31206144 is about 5586.2459666578. The cubic root of 31206144 is about 314.8328465646.

Adding to 31206144 its reverse (44160213), we get a palindrome (75366357).

The spelling of 31206144 in words is "thirty-one million, two hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 227 256 358 384 454 537 681 716 768 908 1074 1362 1432 1816 2148 2724 2864 3632 4296 5448 5728 7264 8592 10896 11456 14528 17184 21792 22912 29056 34368 40633 43584 45824 58112 68736 81266 87168 121899 137472 162532 174336 243798 325064 487596 650128 975192 1300256 1950384 2600512 3900768 5201024 7801536 10402048 15603072 31206144