Search a number
-
+
31220928 = 263267809
BaseRepresentation
bin111011100011…
…0010011000000
32011202012001200
41313012103000
530443032203
63033101200
7526242054
oct167062300
964665050
1031220928
1116694822
12a557800
13661192b
144209c64
152b1a9a3
hex1dc64c0

31220928 has 84 divisors (see below), whose sum is σ = 90937080. Its totient is φ = 10238976.

The previous prime is 31220927. The next prime is 31220941. The reversal of 31220928 is 82902213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31220923) by changing a digit.

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, 38188 + ... + 38996.

Almost surely, 231220928 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 31220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45468540).

31220928 is an abundant number, since it is smaller than the sum of its proper divisors (59716152).

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

31220928 is a wasteful number, since it uses less digits than its factorization.

31220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31220928 is about 5587.5690599759. The cubic root of 31220928 is about 314.8825563693.

The spelling of 31220928 in words is "thirty-one million, two hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 809 1072 1206 1608 1618 2144 2412 2427 3216 3236 4288 4824 4854 6432 6472 7281 9648 9708 12864 12944 14562 19296 19416 25888 29124 38592 38832 51776 54203 58248 77664 108406 116496 155328 162609 216812 232992 325218 433624 465984 487827 650436 867248 975654 1300872 1734496 1951308 2601744 3468992 3902616 5203488 7805232 10406976 15610464 31220928