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16040040 = 2335349383
BaseRepresentation
bin111101001100…
…000001101000
31010011220210120
4331030001220
513101240130
61331443240
7253223652
oct75140150
933156716
1016040040
119066135
125456520
133427b63
1421b76d2
15161c910
hexf4c068

16040040 has 64 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 4253952.

The previous prime is 16039963. The next prime is 16040053. The reversal of 16040040 is 4004061.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41689 + ... + 42071.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 216040040 is an apocalyptic number.

16040040 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 16040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

16040040 is an abundant number, since it is smaller than the sum of its proper divisors (32343960).

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

16040040 is a wasteful number, since it uses less digits than its factorization.

16040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 16040040 is about 4005.0018726587. The cubic root of 16040040 is about 252.1942317116.

Subtracting from 16040040 its sum of digits (15), we obtain a square (16040025 = 40052).

The spelling of 16040040 in words is "sixteen million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 349 383 698 766 1047 1149 1396 1532 1745 1915 2094 2298 2792 3064 3490 3830 4188 4596 5235 5745 6980 7660 8376 9192 10470 11490 13960 15320 20940 22980 41880 45960 133667 267334 401001 534668 668335 802002 1069336 1336670 1604004 2005005 2673340 3208008 4010010 5346680 8020020 16040040