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31140500 = 2253611021
BaseRepresentation
bin111011011001…
…0101010010100
32011121002201212
41312302222110
530432444000
63031240552
7525455426
oct166625224
964532655
1031140500
111663a356
12a519158
1365b4141
1441c8816
152b01c35
hex1db2a94

31140500 has 48 divisors (see below), whose sum is σ = 69193488. Its totient is φ = 12240000.

The previous prime is 31140497. The next prime is 31140503. The reversal of 31140500 is 504113.

It is an interprime number because it is at equal distance from previous prime (31140497) and next prime (31140503).

It can be written as a sum of positive squares in 8 ways, for example, as 18079504 + 13060996 = 4252^2 + 3614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29990 + ... + 31010.

It is an arithmetic number, because the mean of its divisors is an integer number (1441531).

Almost surely, 231140500 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 31140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34596744).

31140500 is an abundant number, since it is smaller than the sum of its proper divisors (38052988).

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

31140500 is a wasteful number, since it uses less digits than its factorization.

31140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 31140500 is about 5580.3673714192. The cubic root of 31140500 is about 314.6119349851.

Adding to 31140500 its reverse (504113), we get a palindrome (31644613).

The spelling of 31140500 in words is "thirty-one million, one hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1021 1220 1525 2042 3050 4084 5105 6100 7625 10210 15250 20420 25525 30500 51050 62281 102100 124562 127625 249124 255250 311405 510500 622810 1245620 1557025 3114050 6228100 7785125 15570250 31140500