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31415040 = 28355101
BaseRepresentation
bin111011111010…
…1101100000000
32012010001100000
41313311230000
531020240130
63041200000
7531011016
oct167655400
965101300
1031415040
1116807648
12a630000
13667c0a7
14425a8b6
152b58260
hex1df5b00

31415040 has 216 divisors, whose sum is σ = 113834448. Its totient is φ = 8294400.

The previous prime is 31415029. The next prime is 31415053. The reversal of 31415040 is 4051413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 310990 + ... + 311090.

Almost surely, 231415040 is an apocalyptic number.

31415040 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 31415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56917224).

31415040 is an abundant number, since it is smaller than the sum of its proper divisors (82419408).

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

31415040 is an equidigital number, since it uses as much as digits as its factorization.

31415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 31415040 is about 5604.9121313362. The cubic root of 31415040 is about 315.5337888253.

Adding to 31415040 its reverse (4051413), we get a palindrome (35466453).

The spelling of 31415040 in words is "thirty-one million, four hundred fifteen thousand, forty".