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16040920 = 235759971
BaseRepresentation
bin111101001100…
…001111011000
31010011222000011
4331030033120
513101302140
61331451304
7253226350
oct75141730
933158004
1016040920
119066865
125456b34
13342838c
1421b7b60
15161ccea
hexf4c3d8

16040920 has 64 divisors (see below), whose sum is σ = 41990400. Its totient is φ = 5400960.

The previous prime is 16040917. The next prime is 16040923. The reversal of 16040920 is 2904061.

It is an interprime number because it is at equal distance from previous prime (16040917) and next prime (16040923).

It is a super-2 number, since 2×160409202 = 514622228892800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16040891 and 16040900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16040923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16035 + ... + 17005.

It is an arithmetic number, because the mean of its divisors is an integer number (656100).

Almost surely, 216040920 is an apocalyptic number.

16040920 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 16040920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995200).

16040920 is an abundant number, since it is smaller than the sum of its proper divisors (25949480).

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

16040920 is a wasteful number, since it uses less digits than its factorization.

16040920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 16040920 is about 4005.1117337722. Note that the first 3 decimals coincide. The cubic root of 16040920 is about 252.1988436466.

Adding to 16040920 its reverse (2904061), we get a palindrome (18944981).

The spelling of 16040920 in words is "sixteen million, forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 826 971 1180 1652 1942 2065 2360 3304 3884 4130 4855 6797 7768 8260 9710 13594 16520 19420 27188 33985 38840 54376 57289 67970 114578 135940 229156 271880 286445 401023 458312 572890 802046 1145780 1604092 2005115 2291560 3208184 4010230 8020460 16040920