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16290288 = 243375387
BaseRepresentation
bin111110001001…
…000111110000
31010122122002000
4332021013300
513132242123
61341054000
7255315360
oct76110760
933578060
1016290288
119217153
125557300
1334b4a31
1422409a0
15166bb43
hexf891f0

16290288 has 80 divisors (see below), whose sum is σ = 53448960. Its totient is φ = 4653504.

The previous prime is 16290269. The next prime is 16290289. The reversal of 16290288 is 88209261.

16290288 is a `hidden beast` number, since 1 + 629 + 0 + 28 + 8 = 666.

16290288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16290289) 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, 331 + ... + 5717.

It is an arithmetic number, because the mean of its divisors is an integer number (668112).

Almost surely, 216290288 is an apocalyptic number.

16290288 is a gapful number since it is divisible by the number (18) 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 16290288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26724480).

16290288 is an abundant number, since it is smaller than the sum of its proper divisors (37158672).

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

16290288 is a wasteful number, since it uses less digits than its factorization.

16290288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16290288 is about 4036.1228920834. The cubic root of 16290288 is about 253.4990021319.

The spelling of 16290288 in words is "sixteen million, two hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 5387 10774 16161 21548 32322 37709 43096 48483 64644 75418 86192 96966 113127 129288 145449 150836 193932 226254 258576 290898 301672 339381 387864 452508 581796 603344 678762 775728 905016 1018143 1163592 1357524 1810032 2036286 2327184 2715048 4072572 5430096 8145144 16290288