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16233040 = 245296997
BaseRepresentation
bin111101111011…
…001001010000
31010112201112201
4331323021100
513123424130
61335532544
7254656435
oct75731120
933481481
1016233040
11918813a
12552a154
133494965
142227b8c
151659bca
hexf7b250

16233040 has 40 divisors (see below), whose sum is σ = 39048840. Its totient is φ = 6268416.

The previous prime is 16233017. The next prime is 16233053. The reversal of 16233040 is 4033261.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 15303744 = 964^2 + 3912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 16232999 and 16233017.

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, 1179 + ... + 5818.

It is an arithmetic number, because the mean of its divisors is an integer number (976221).

Almost surely, 216233040 is an apocalyptic number.

16233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16233040 is an abundant number, since it is smaller than the sum of its proper divisors (22815800).

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

16233040 is a wasteful number, since it uses less digits than its factorization.

16233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 16233040 is about 4029.0246958786. The cubic root of 16233040 is about 253.2017013912.

The spelling of 16233040 in words is "sixteen million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 6997 13994 27988 34985 55976 69970 111952 139940 202913 279880 405826 559760 811652 1014565 1623304 2029130 3246608 4058260 8116520 16233040