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16405140 = 2235793461
BaseRepresentation
bin111110100101…
…001010010100
31010212110121210
4332211022110
513144431030
61343341420
7256304253
oct76451224
933773553
1016405140
119295474
1255b1870
1335250ab
14227079a
151690bb0
hexfa5294

16405140 has 48 divisors (see below), whose sum is σ = 46529280. Its totient is φ = 4318080.

The previous prime is 16405139. The next prime is 16405163. The reversal of 16405140 is 4150461.

16405140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3010 + ... + 6470.

It is an arithmetic number, because the mean of its divisors is an integer number (969360).

Almost surely, 216405140 is an apocalyptic number.

16405140 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 16405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23264640).

16405140 is an abundant number, since it is smaller than the sum of its proper divisors (30124140).

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

16405140 is a wasteful number, since it uses less digits than its factorization.

16405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 16405140 is about 4050.3259128124. The cubic root of 16405140 is about 254.0933585350.

The spelling of 16405140 in words is "sixteen million, four hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 3461 4740 6922 10383 13844 17305 20766 34610 41532 51915 69220 103830 207660 273419 546838 820257 1093676 1367095 1640514 2734190 3281028 4101285 5468380 8202570 16405140