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31150240 = 2551121609
BaseRepresentation
bin111011011010…
…1000010100000
32011121121002121
41312311002200
530433301430
63031354024
7525526012
oct166650240
964547077
1031150240
1116646700
12a522914
1365b86c4
1441cc1b2
152b04a7a
hex1db50a0

31150240 has 72 divisors (see below), whose sum is σ = 80941140. Its totient is φ = 11320320.

The previous prime is 31150219. The next prime is 31150241. The reversal of 31150240 is 4205113.

It can be written as a sum of positive squares in 2 ways, for example, as 29289744 + 1860496 = 5412^2 + 1364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31150241) 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, 18556 + ... + 20164.

Almost surely, 231150240 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 31150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40470570).

31150240 is an abundant number, since it is smaller than the sum of its proper divisors (49790900).

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

31150240 is a wasteful number, since it uses less digits than its factorization.

31150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 31150240 is about 5581.2400055902. The cubic root of 31150240 is about 314.6447325833.

Adding to 31150240 its reverse (4205113), we get a palindrome (35355353).

The spelling of 31150240 in words is "thirty-one million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1609 1760 1936 2420 3218 3872 4840 6436 8045 9680 12872 16090 17699 19360 25744 32180 35398 51488 64360 70796 88495 128720 141592 176990 194689 257440 283184 353980 389378 566368 707960 778756 973445 1415920 1557512 1946890 2831840 3115024 3893780 6230048 7787560 15575120 31150240