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16488090 = 233579773
BaseRepresentation
bin111110111001…
…011010011010
31011000200102000
4332321122122
513210104330
61345221430
7260101143
oct76713232
934020360
1016488090
119341823
125631876
133553a88
142292aca
1516aa560
hexfb969a

16488090 has 64 divisors (see below), whose sum is σ = 44582400. Its totient is φ = 4335552.

The previous prime is 16488071. The next prime is 16488107. The reversal of 16488090 is 9088461.

It is a happy number.

16488090 is a `hidden beast` number, since 1 + 648 + 8 + 0 + 9 + 0 = 666.

It is a super-2 number, since 2×164880902 = 543714223696200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20944 + ... + 21716.

It is an arithmetic number, because the mean of its divisors is an integer number (696600).

Almost surely, 216488090 is an apocalyptic number.

16488090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16488090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291200).

16488090 is an abundant number, since it is smaller than the sum of its proper divisors (28094310).

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

16488090 is a wasteful number, since it uses less digits than its factorization.

16488090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

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

The square root of 16488090 is about 4060.5529180150. The cubic root of 16488090 is about 254.5208997263.

The spelling of 16488090 in words is "sixteen million, four hundred eighty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 773 790 1185 1422 1546 2133 2319 2370 3555 3865 4266 4638 6957 7110 7730 10665 11595 13914 20871 21330 23190 34785 41742 61067 69570 104355 122134 183201 208710 305335 366402 549603 610670 916005 1099206 1648809 1832010 2748015 3297618 5496030 8244045 16488090