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16516890 = 23251319743
BaseRepresentation
bin111111000000…
…011100011010
31011002010220200
4333000130122
513212020030
61350003030
7260251125
oct77003432
934063820
1016516890
119361425
125646476
133563c10
14229d3bc
1516b3d60
hexfc071a

16516890 has 96 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3846528.

The previous prime is 16516889. The next prime is 16516919. The reversal of 16516890 is 9861561.

16516890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21859 + ... + 22601.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 216516890 is an apocalyptic number.

16516890 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 16516890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

16516890 is an abundant number, since it is smaller than the sum of its proper divisors (32229990).

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

16516890 is a wasteful number, since it uses less digits than its factorization.

16516890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 16516890 is about 4064.0976858338. The cubic root of 16516890 is about 254.6690053816.

The spelling of 16516890 in words is "sixteen million, five hundred sixteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 743 855 1170 1235 1482 1486 1710 2223 2229 2470 3705 3715 4446 4458 6687 7410 7430 9659 11115 11145 13374 14117 19318 22230 22290 28234 28977 33435 42351 48295 57954 66870 70585 84702 86931 96590 127053 141170 144885 173862 183521 211755 254106 289770 367042 423510 434655 550563 635265 869310 917605 1101126 1270530 1651689 1835210 2752815 3303378 5505630 8258445 16516890