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16212690 = 23351331149
BaseRepresentation
bin111101110110…
…001011010010
31010111200122000
4331312023102
513122301230
61335254430
7254543214
oct75661322
933450560
1016212690
11917391a
12551a416
133488610
1422205b4
151653b60
hexf762d2

16212690 has 128 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 3836160.

The previous prime is 16212689. The next prime is 16212739. The reversal of 16212690 is 9621261.

It is a super-2 number, since 2×162126902 = 525702634072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108736 + ... + 108884.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 216212690 is an apocalyptic number.

16212690 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 16212690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

16212690 is an abundant number, since it is smaller than the sum of its proper divisors (32171310).

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

16212690 is a wasteful number, since it uses less digits than its factorization.

16212690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

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

The square root of 16212690 is about 4026.4984788275. The cubic root of 16212690 is about 253.0958512388.

The spelling of 16212690 in words is "sixteen million, two hundred twelve thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 149 155 186 195 234 270 279 298 310 351 390 403 447 465 558 585 702 745 806 837 894 930 1170 1209 1341 1395 1490 1674 1755 1937 2015 2235 2418 2682 2790 3510 3627 3874 4023 4030 4185 4470 4619 5811 6045 6705 7254 8046 8370 9238 9685 10881 11622 12090 13410 13857 17433 18135 19370 20115 21762 23095 27714 29055 34866 36270 40230 41571 46190 52299 54405 58110 60047 69285 83142 87165 104598 108810 120094 124713 138570 174330 180141 207855 249426 261495 300235 360282 415710 522990 540423 600470 623565 900705 1080846 1247130 1621269 1801410 2702115 3242538 5404230 8106345 16212690