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16289000 = 2353713179
BaseRepresentation
bin111110001000…
…110011101000
31010122120022022
4332020303220
513132222000
61341044012
7255311540
oct76106350
933576268
1016289000
119216192
125556608
1334b4280
142240320
15166b585
hexf88ce8

16289000 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 5126400.

The previous prime is 16288963. The next prime is 16289003. The reversal of 16289000 is 98261.

16289000 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 (26).

It is not an unprimeable number, because it can be changed into a prime (16289003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90911 + ... + 91089.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 216289000 is an apocalyptic number.

16289000 is a gapful number since it is divisible by the number (10) 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 16289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

16289000 is an abundant number, since it is smaller than the sum of its proper divisors (30885400).

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

16289000 is a wasteful number, since it uses less digits than its factorization.

16289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 16289000 is about 4035.9633298631. The cubic root of 16289000 is about 253.4923209461.

The spelling of 16289000 in words is "sixteen million, two hundred eighty-nine thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 179 182 200 250 260 280 325 350 358 364 455 500 520 650 700 716 728 875 895 910 1000 1253 1300 1400 1432 1625 1750 1790 1820 2275 2327 2506 2600 3250 3500 3580 3640 4475 4550 4654 5012 6265 6500 7000 7160 8950 9100 9308 10024 11375 11635 12530 13000 16289 17900 18200 18616 22375 22750 23270 25060 31325 32578 35800 44750 45500 46540 50120 58175 62650 65156 81445 89500 91000 93080 116350 125300 130312 156625 162890 179000 232700 250600 290875 313250 325780 407225 465400 581750 626500 651560 814450 1163500 1253000 1628900 2036125 2327000 3257800 4072250 8144500 16289000