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16002090 = 2335134797
BaseRepresentation
bin111101000010…
…110000101010
31010002222202000
4331002300222
513044031330
61330551430
7253005216
oct75026052
933088660
1016002090
11903a675
125438576
1334137c0
1421a7946
151611560
hexf42c2a

16002090 has 128 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 3815424.

The previous prime is 16002067. The next prime is 16002101. The reversal of 16002090 is 9020061.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 164922 + ... + 165018.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 216002090 is an apocalyptic number.

16002090 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 16002090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

16002090 is an abundant number, since it is smaller than the sum of its proper divisors (31414230).

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

16002090 is a wasteful number, since it uses less digits than its factorization.

16002090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 16002090 is about 4000.2612414691. The cubic root of 16002090 is about 251.9951813138.

The spelling of 16002090 in words is "sixteen million, two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 47 54 65 78 90 94 97 117 130 135 141 194 195 234 235 270 282 291 351 390 423 470 485 582 585 611 702 705 846 873 970 1170 1222 1261 1269 1410 1455 1746 1755 1833 2115 2522 2538 2619 2910 3055 3510 3666 3783 4230 4365 4559 5238 5499 6110 6305 6345 7566 8730 9118 9165 10998 11349 12610 12690 13095 13677 16497 18330 18915 22698 22795 26190 27354 27495 32994 34047 37830 41031 45590 54990 56745 59267 68094 68385 82062 82485 113490 118534 123093 136770 164970 170235 177801 205155 246186 296335 340470 355602 410310 533403 592670 615465 889005 1066806 1230930 1600209 1778010 2667015 3200418 5334030 8001045 16002090