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16488990 = 2325723739
BaseRepresentation
bin111110111001…
…101000011110
31011000201122100
4332321220132
513210121430
61345225530
7260103600
oct76715036
934021570
1016488990
119342471
1256322a6
1335542cb
142293170
1516aa960
hexfb9a1e

16488990 has 72 divisors (see below), whose sum is σ = 49884120. Its totient is φ = 3767904.

The previous prime is 16488977. The next prime is 16488991. The reversal of 16488990 is 9988461.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16488991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2541 + ... + 6279.

It is an arithmetic number, because the mean of its divisors is an integer number (692835).

Almost surely, 216488990 is an apocalyptic number.

16488990 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 16488990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24942060).

16488990 is an abundant number, since it is smaller than the sum of its proper divisors (33395130).

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

16488990 is a wasteful number, since it uses less digits than its factorization.

16488990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 16488990 is about 4060.6637388486. The cubic root of 16488990 is about 254.5255306375.

The spelling of 16488990 in words is "sixteen million, four hundred eighty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 3739 4410 7478 11217 18695 22434 26173 33651 37390 52346 56085 67302 78519 112170 130865 157038 168255 183211 235557 261730 336510 366422 392595 471114 549633 785190 916055 1099266 1177785 1648899 1832110 2355570 2748165 3297798 5496330 8244495 16488990