Search a number
-
+
16058112 = 283729103
BaseRepresentation
bin111101010000…
…011100000000
31010012211120220
4331100130000
513102324422
61332103040
7253330440
oct75203400
933184526
1016058112
119078774
125464a80
133433155
1421c0120
151622e5c
hexf50700

16058112 has 144 divisors (see below), whose sum is σ = 51018240. Its totient is φ = 4386816.

The previous prime is 16058087. The next prime is 16058123. The reversal of 16058112 is 21185061.

It is a super-2 number, since 2×160581122 = 515725922009088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155853 + ... + 155955.

Almost surely, 216058112 is an apocalyptic number.

16058112 is a gapful number since it is divisible by the number (12) 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 16058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509120).

16058112 is an abundant number, since it is smaller than the sum of its proper divisors (34960128).

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

16058112 is a wasteful number, since it uses less digits than its factorization.

16058112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 16058112 is about 4007.2574162387. The cubic root of 16058112 is about 252.2889102692.

The spelling of 16058112 in words is "sixteen million, fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 103 112 116 128 168 174 192 203 206 224 232 256 309 336 348 384 406 412 448 464 609 618 672 696 721 768 812 824 896 928 1218 1236 1344 1392 1442 1624 1648 1792 1856 2163 2436 2472 2688 2784 2884 2987 3248 3296 3712 4326 4872 4944 5376 5568 5768 5974 6496 6592 7424 8652 8961 9744 9888 11136 11536 11948 12992 13184 17304 17922 19488 19776 20909 22272 23072 23896 25984 26368 34608 35844 38976 39552 41818 46144 47792 51968 62727 69216 71688 77952 79104 83636 92288 95584 125454 138432 143376 155904 167272 184576 191168 250908 276864 286752 334544 382336 501816 553728 573504 669088 764672 1003632 1147008 1338176 2007264 2294016 2676352 4014528 5352704 8029056 16058112