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109499040 = 2534571771
BaseRepresentation
bin1101000011011…
…01001010100000
321122001010110000
412201231022200
5211012432130
614510540000
72466504120
oct641551240
9248033400
10109499040
115689a282
1230807600
13198bb341
1410784c80
15992e260
hex686d2a0

109499040 has 480 divisors, whose sum is σ = 474211584. Its totient is φ = 23224320.

The previous prime is 109499029. The next prime is 109499059. The reversal of 109499040 is 40994901.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109498986 and 109499004.

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 79 ways as a sum of consecutive naturals, for example, 1542205 + ... + 1542275.

Almost surely, 2109499040 is an apocalyptic number.

109499040 is a gapful number since it is divisible by the number (10) 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 109499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237105792).

109499040 is an abundant number, since it is smaller than the sum of its proper divisors (364712544).

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

109499040 is a wasteful number, since it uses less digits than its factorization.

109499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109499040 is about 10464.1788975533. The cubic root of 109499040 is about 478.4135121443.

The spelling of 109499040 in words is "one hundred nine million, four hundred ninety-nine thousand, forty".