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31214080 = 29589137
BaseRepresentation
bin111011100010…
…0101000000000
32011201211200001
41313010220000
530442322310
63033005344
7526213102
oct167045000
964654601
1031214080
111668a667
12a553854
13660b791
144207572
152b1893a
hex1dc4a00

31214080 has 80 divisors (see below), whose sum is σ = 76233960. Its totient is φ = 12255232.

The previous prime is 31214069. The next prime is 31214081. The reversal of 31214080 is 8041213.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 9535744 = 4656^2 + 3088^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (31214081) 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, 227772 + ... + 227908.

Almost surely, 231214080 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 31214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38116980).

31214080 is an abundant number, since it is smaller than the sum of its proper divisors (45019880).

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

31214080 is an equidigital number, since it uses as much as digits as its factorization.

31214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 31214080 is about 5586.9562375233. The cubic root of 31214080 is about 314.8595325670.

Adding to 31214080 its reverse (8041213), we get a palindrome (39255293).

The spelling of 31214080 in words is "thirty-one million, two hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 137 160 178 256 274 320 356 445 512 548 640 685 712 890 1096 1280 1370 1424 1780 2192 2560 2740 2848 3560 4384 5480 5696 7120 8768 10960 11392 12193 14240 17536 21920 22784 24386 28480 35072 43840 45568 48772 56960 60965 70144 87680 97544 113920 121930 175360 195088 227840 243860 350720 390176 487720 780352 975440 1560704 1950880 3121408 3901760 6242816 7803520 15607040 31214080