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16242320 = 245297001
BaseRepresentation
bin111101111101…
…011010010000
31010120012021102
4331331122100
513124223240
61340043532
7255025463
oct75753220
933505242
1016242320
119194106
1255335a8
133498c53
14222b2da
15165c815
hexf7d690

16242320 has 40 divisors (see below), whose sum is σ = 39071160. Its totient is φ = 6272000.

The previous prime is 16242313. The next prime is 16242323. The reversal of 16242320 is 2324261.

It can be written as a sum of positive squares in 4 ways, for example, as 1373584 + 14868736 = 1172^2 + 3856^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 16242292 and 16242301.

It is not an unprimeable number, because it can be changed into a prime (16242323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181 + ... + 5820.

It is an arithmetic number, because the mean of its divisors is an integer number (976779).

Almost surely, 216242320 is an apocalyptic number.

16242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16242320 is an abundant number, since it is smaller than the sum of its proper divisors (22828840).

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

16242320 is a wasteful number, since it uses less digits than its factorization.

16242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 16242320 is about 4030.1761748092. The cubic root of 16242320 is about 253.2499417737.

Adding to 16242320 its reverse (2324261), we get a palindrome (18566581).

The spelling of 16242320 in words is "sixteen million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 7001 14002 28004 35005 56008 70010 112016 140020 203029 280040 406058 560080 812116 1015145 1624232 2030290 3248464 4060580 8121160 16242320