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16141040 = 245892267
BaseRepresentation
bin111101100100…
…101011110000
31010101001100022
4331210223300
513113003130
61333543012
7254124266
oct75445360
933331308
1016141040
119125003
1254a4a68
133461b16
142202436
15163c7e5
hexf64af0

16141040 has 40 divisors (see below), whose sum is σ = 37966320. Its totient is φ = 6381056.

The previous prime is 16140997. The next prime is 16141061. The reversal of 16141040 is 4014161.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5987 + ... + 8253.

It is an arithmetic number, because the mean of its divisors is an integer number (949158).

Almost surely, 216141040 is an apocalyptic number.

16141040 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 16141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983160).

16141040 is an abundant number, since it is smaller than the sum of its proper divisors (21825280).

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

16141040 is a wasteful number, since it uses less digits than its factorization.

16141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 16141040 is about 4017.5913181905. The cubic root of 16141040 is about 252.7224585928.

The spelling of 16141040 in words is "sixteen million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 2267 3560 4534 7120 9068 11335 18136 22670 36272 45340 90680 181360 201763 403526 807052 1008815 1614104 2017630 3228208 4035260 8070520 16141040