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16003890 = 23257219191
BaseRepresentation
bin111101000011…
…001100110010
31010010002012200
4331003030302
513044111030
61331004030
7253013400
oct75031462
933102180
1016003890
119040a61
125439616
133414576
1421a8470
151611d60
hexf43332

16003890 has 144 divisors (see below), whose sum is σ = 51217920. Its totient is φ = 3447360.

The previous prime is 16003859. The next prime is 16003903. The reversal of 16003890 is 9830061.

16003890 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×160038902 = 512248990264200, which contains 22 as substring.

16003890 is strictly pandigital in base 8.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83695 + ... + 83885.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 216003890 is an apocalyptic number.

16003890 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 16003890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608960).

16003890 is an abundant number, since it is smaller than the sum of its proper divisors (35214030).

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

16003890 is a wasteful number, since it uses less digits than its factorization.

16003890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16003890 is about 4000.4862204487. The cubic root of 16003890 is about 252.0046295446.

The spelling of 16003890 in words is "sixteen million, three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 191 210 245 266 285 294 315 342 382 399 441 490 570 573 630 665 735 798 855 882 931 955 1146 1197 1330 1337 1470 1710 1719 1862 1910 1995 2205 2394 2674 2793 2865 3438 3629 3990 4011 4410 4655 5586 5730 5985 6685 7258 8022 8379 8595 9310 9359 10887 11970 12033 13370 13965 16758 17190 18145 18718 20055 21774 24066 25403 27930 28077 32661 36290 40110 41895 46795 50806 54435 56154 60165 65322 76209 83790 84231 93590 108870 120330 127015 140385 152418 163305 168462 177821 228627 254030 280770 326610 355642 381045 421155 457254 533463 762090 842310 889105 1066926 1143135 1600389 1778210 2286270 2667315 3200778 5334630 8001945 16003890