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16204840 = 235412241
BaseRepresentation
bin111101110100…
…010000101000
31010111021212021
4331310100220
513122023330
61335154224
7254511301
oct75642050
933437767
1016204840
119168a33
125515974
133484b82
14221b7a8
15165167a
hexf74428

16204840 has 48 divisors (see below), whose sum is σ = 37526940. Its totient is φ = 6297600.

The previous prime is 16204817. The next prime is 16204841. The reversal of 16204840 is 4840261.

It can be written as a sum of positive squares in 6 ways, for example, as 1258884 + 14945956 = 1122^2 + 3866^2 .

It is not an unprimeable number, because it can be changed into a prime (16204841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67120 + ... + 67360.

Almost surely, 216204840 is an apocalyptic number.

16204840 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 16204840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763470).

16204840 is an abundant number, since it is smaller than the sum of its proper divisors (21322100).

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

16204840 is a wasteful number, since it uses less digits than its factorization.

16204840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 16204840 is about 4025.5235684318. The cubic root of 16204840 is about 253.0549959339.

The spelling of 16204840 in words is "sixteen million, two hundred four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 241 328 410 482 820 964 1205 1640 1681 1928 2410 3362 4820 6724 8405 9640 9881 13448 16810 19762 33620 39524 49405 67240 79048 98810 197620 395240 405121 810242 1620484 2025605 3240968 4051210 8102420 16204840