Search a number
-
+
31069440 = 283352931
BaseRepresentation
bin111011010000…
…1010100000000
32011110111021000
41312201110000
530423210230
63025532000
7525041313
oct166412400
964414230
1031069440
11165a0a26
12a4a4000
13658a9ac
1441aa97a
152adab60
hex1da1500

31069440 has 288 divisors, whose sum is σ = 117734400. Its totient is φ = 7741440.

The previous prime is 31069439. The next prime is 31069447. The reversal of 31069440 is 4496013.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31069447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002225 + ... + 1002255.

It is an arithmetic number, because the mean of its divisors is an integer number (408800).

Almost surely, 231069440 is an apocalyptic number.

31069440 is a gapful number since it is divisible by the number (30) 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 31069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

31069440 is an abundant number, since it is smaller than the sum of its proper divisors (86664960).

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

31069440 is a wasteful number, since it uses less digits than its factorization.

31069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 31069440 is about 5573.9967707203. The cubic root of 31069440 is about 314.3724467433.

The spelling of 31069440 in words is "thirty-one million, sixty-nine thousand, four hundred forty".