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109942416 = 24322632903
BaseRepresentation
bin1101000110110…
…01011010010000
321122212122122100
412203121122100
5211121124131
614524240400
72503331553
oct643313220
9248778570
10109942416
1157072401
12309a0100
1319a150ac
141085c69a
1599ba7e6
hex68d9690

109942416 has 60 divisors (see below), whose sum is σ = 308962368. Its totient is φ = 36495552.

The previous prime is 109942373. The next prime is 109942421. The reversal of 109942416 is 614249901.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36421 + ... + 39323.

Almost surely, 2109942416 is an apocalyptic number.

109942416 is a gapful number since it is divisible by the number (16) 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 109942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154481184).

109942416 is an abundant number, since it is smaller than the sum of its proper divisors (199019952).

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

109942416 is a wasteful number, since it uses less digits than its factorization.

109942416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109942416 is about 10485.3429128474. The cubic root of 109942416 is about 479.0583622880.

The spelling of 109942416 in words is "one hundred nine million, nine hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 789 1052 1578 2104 2367 2903 3156 4208 4734 5806 6312 8709 9468 11612 12624 17418 18936 23224 26127 34836 37872 46448 52254 69672 104508 139344 209016 418032 763489 1526978 2290467 3053956 4580934 6107912 6871401 9161868 12215824 13742802 18323736 27485604 36647472 54971208 109942416