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16442040 = 2335181757
BaseRepresentation
bin111110101110…
…001010111000
31010221100020110
4332232022320
513202121130
61344224320
7256516656
oct76561270
933840213
1016442040
11931016a
12560b0a0
133538b24
14227ddd6
15169bab0
hexfae2b8

16442040 has 64 divisors (see below), whose sum is σ = 49664160. Its totient is φ = 4354560.

The previous prime is 16442029. The next prime is 16442047. The reversal of 16442040 is 4024461.

It is a super-3 number, since 3×164420403 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16441998 and 16442016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21342 + ... + 22098.

Almost surely, 216442040 is an apocalyptic number.

16442040 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 16442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24832080).

16442040 is an abundant number, since it is smaller than the sum of its proper divisors (33222120).

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

16442040 is a wasteful number, since it uses less digits than its factorization.

16442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 16442040 is about 4054.8785431872. The cubic root of 16442040 is about 254.2837261855.

The spelling of 16442040 in words is "sixteen million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 757 905 1086 1448 1514 1810 2172 2271 2715 3028 3620 3785 4344 4542 5430 6056 7240 7570 9084 10860 11355 15140 18168 21720 22710 30280 45420 90840 137017 274034 411051 548068 685085 822102 1096136 1370170 1644204 2055255 2740340 3288408 4110510 5480680 8221020 16442040