Search a number
-
+
31375440 = 2432543577
BaseRepresentation
bin111011110110…
…0000001010000
32012001001000100
41313230001100
531013003230
63040252400
7530454405
oct167540120
965031010
1031375440
111678a918
12a611100
136667065
14424a2ac
152b4b660
hex1dec050

31375440 has 60 divisors (see below), whose sum is σ = 105371604. Its totient is φ = 8366592.

The previous prime is 31375439. The next prime is 31375457. The reversal of 31375440 is 4457313.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 21790224 = 3096^2 + 4668^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 21069 + ... + 22508.

Almost surely, 231375440 is an apocalyptic number.

31375440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31375440 is an abundant number, since it is smaller than the sum of its proper divisors (73996164).

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

31375440 is a wasteful number, since it uses less digits than its factorization.

31375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43596 (or 43587 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 31375440 is about 5601.3784017865. The cubic root of 31375440 is about 315.4011518046.

The spelling of 31375440 in words is "thirty-one million, three hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 43577 87154 130731 174308 217885 261462 348616 392193 435770 522924 653655 697232 784386 871540 1045848 1307310 1568772 1743080 1960965 2091696 2614620 3137544 3486160 3921930 5229240 6275088 7843860 10458480 15687720 31375440