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94109040 = 2435547103
BaseRepresentation
bin1011001101111…
…11110101110000
320120002020100000
411212333311300
5143042442130
613201030000
72221625244
oct546776560
9216066300
1094109040
1149138573
1227625300
131666032c
14c6da424
1583de260
hex59bfd70

94109040 has 240 divisors, whose sum is σ = 337978368. Its totient is φ = 24323328.

The previous prime is 94109021. The next prime is 94109047. The reversal of 94109040 is 4090149.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×941090403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 94108995 and 94109013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94109047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913629 + ... + 913731.

Almost surely, 294109040 is an apocalyptic number.

94109040 is a gapful number since it is divisible by the number (90) 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 94109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168989184).

94109040 is an abundant number, since it is smaller than the sum of its proper divisors (243869328).

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

94109040 is a wasteful number, since it uses less digits than its factorization.

94109040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 94109040 is about 9700.9813936529. The cubic root of 94109040 is about 454.8593374310.

Adding to 94109040 its reverse (4090149), we get a palindrome (98199189).

The spelling of 94109040 in words is "ninety-four million, one hundred nine thousand, forty".