Search a number
-
+
31030272 = 2103271337
BaseRepresentation
bin111011001011…
…1110000000000
32011101111112100
41312113300000
530420432042
63025030400
7524516160
oct166276000
964344470
1031030272
1116574559
12a485400
136575c10
14419a5a0
152ace24c
hex1d97c00

31030272 has 264 divisors, whose sum is σ = 113256416. Its totient is φ = 7962624.

The previous prime is 31030267. The next prime is 31030327. The reversal of 31030272 is 27203013.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 838638 + ... + 838674.

Almost surely, 231030272 is an apocalyptic number.

31030272 is a gapful number since it is divisible by the number (32) 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 31030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56628208).

31030272 is an abundant number, since it is smaller than the sum of its proper divisors (82226144).

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

31030272 is a wasteful number, since it uses less digits than its factorization.

31030272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 31030272 is about 5570.4822053391. The cubic root of 31030272 is about 314.2402856022.

Adding to 31030272 its reverse (27203013), we get a palindrome (58233285).

The spelling of 31030272 in words is "thirty-one million, thirty thousand, two hundred seventy-two".