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31114080 = 25325173141
BaseRepresentation
bin111011010110…
…0001101100000
32011112202111100
41312230031200
530431122310
63030514400
7525315414
oct166541540
964482440
1031114080
1116621518
12a505a00
1365a50ca
1441bcd44
152ae8ec0
hex1dac360

31114080 has 288 divisors, whose sum is σ = 118879488. Its totient is φ = 7372800.

The previous prime is 31114079. The next prime is 31114093. The reversal of 31114080 is 8041113.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758860 + ... + 758900.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 231114080 is an apocalyptic number.

31114080 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 31114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

31114080 is an abundant number, since it is smaller than the sum of its proper divisors (87765408).

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

31114080 is a wasteful number, since it uses less digits than its factorization.

31114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 31114080 is about 5577.9996414485. Note that the first 3 decimals coincide. The cubic root of 31114080 is about 314.5229362095.

Adding to 31114080 its reverse (8041113), we get a palindrome (39155193).

The spelling of 31114080 in words is "thirty-one million, one hundred fourteen thousand, eighty".