Search a number
-
+
31280256 = 27347431
BaseRepresentation
bin111011101010…
…0110010000000
32011212012110000
41313110302000
531001432011
63034240000
7526610040
oct167246200
964765400
1031280256
1116725357
12a586000
136632937
144223720
152b2d356
hex1dd4c80

31280256 has 160 divisors (see below), whose sum is σ = 106634880. Its totient is φ = 8916480.

The previous prime is 31280231. The next prime is 31280267. The reversal of 31280256 is 65208213.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 72361 + ... + 72791.

It is an arithmetic number, because the mean of its divisors is an integer number (666468).

Almost surely, 231280256 is an apocalyptic number.

31280256 is a gapful number since it is divisible by the number (36) 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 31280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317440).

31280256 is an abundant number, since it is smaller than the sum of its proper divisors (75354624).

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

31280256 is an equidigital number, since it uses as much as digits as its factorization.

31280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 31280256 is about 5592.8754679503. The cubic root of 31280256 is about 315.0818834747.

Adding to 31280256 its reverse (65208213), we get a palindrome (96488469).

The spelling of 31280256 in words is "thirty-one million, two hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 431 432 448 504 567 576 648 672 756 862 864 896 1008 1134 1152 1293 1296 1344 1512 1724 1728 2016 2268 2586 2592 2688 3017 3024 3448 3456 3879 4032 4536 5172 5184 6034 6048 6896 7758 8064 9051 9072 10344 10368 11637 12068 12096 13792 15516 18102 18144 20688 23274 24136 24192 27153 27584 31032 34911 36204 36288 41376 46548 48272 54306 55168 62064 69822 72408 72576 81459 82752 93096 96544 108612 124128 139644 144816 162918 165504 186192 193088 217224 244377 248256 279288 289632 325836 372384 386176 434448 488754 496512 558576 579264 651672 744768 868896 977508 1117152 1158528 1303344 1489536 1737792 1955016 2234304 2606688 3475584 3910032 4468608 5213376 7820064 10426752 15640128 31280256