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3907116 = 223431389
BaseRepresentation
bin1110111001111000101100
321100111120000
432321320230
52000011431
6215424300
745132003
oct16717054
97314500
103907116
112229524
121385090
13a6a505
14739c3a
155229e6
hex3b9e2c

3907116 has 60 divisors (see below), whose sum is σ = 10570560. Its totient is φ = 1257120.

The previous prime is 3907097. The next prime is 3907121. The reversal of 3907116 is 6117093.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3907116.

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 19 ways as a sum of consecutive naturals, for example, 9850 + ... + 10238.

It is an arithmetic number, because the mean of its divisors is an integer number (176176).

Almost surely, 23907116 is an apocalyptic number.

3907116 is a gapful number since it is divisible by the number (36) 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 3907116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285280).

3907116 is an abundant number, since it is smaller than the sum of its proper divisors (6663444).

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

3907116 is a wasteful number, since it uses less digits than its factorization.

3907116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 3907116 is about 1976.6426080604. The cubic root of 3907116 is about 157.5017686876.

The spelling of 3907116 in words is "three million, nine hundred seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 389 558 778 837 1116 1167 1556 1674 2334 2511 3348 3501 4668 5022 7002 10044 10503 12059 14004 21006 24118 31509 36177 42012 48236 63018 72354 108531 126036 144708 217062 325593 434124 651186 976779 1302372 1953558 3907116