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16986420 = 223251123373
BaseRepresentation
bin100000011001…
…1000100110100
31011221222222200
41000303010310
513322031140
61404024500
7264245043
oct100630464
934858880
1016986420
119652170
125832130
133699849
14238255a
151758030
hex1033134

16986420 has 144 divisors (see below), whose sum is σ = 58810752. Its totient is φ = 3928320.

The previous prime is 16986391. The next prime is 16986421. The reversal of 16986420 is 2468961.

16986420 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16986421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45354 + ... + 45726.

It is an arithmetic number, because the mean of its divisors is an integer number (408408).

Almost surely, 216986420 is an apocalyptic number.

16986420 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 16986420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29405376).

16986420 is an abundant number, since it is smaller than the sum of its proper divisors (41824332).

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

16986420 is a wasteful number, since it uses less digits than its factorization.

16986420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16986420 is about 4121.4584797132. The cubic root of 16986420 is about 257.0596741523.

It can be divided in two parts, 1698 and 6420, that added together give a palindrome (8118).

The spelling of 16986420 in words is "sixteen million, nine hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 373 396 414 460 495 506 660 690 746 759 828 990 1012 1035 1119 1265 1380 1492 1518 1865 1980 2070 2238 2277 2530 3036 3357 3730 3795 4103 4140 4476 4554 5060 5595 6714 7460 7590 8206 8579 9108 11190 11385 12309 13428 15180 16412 16785 17158 20515 22380 22770 24618 25737 33570 34316 36927 41030 42895 45540 49236 51474 61545 67140 73854 77211 82060 85790 94369 102948 123090 128685 147708 154422 171580 184635 188738 246180 257370 283107 308844 369270 377476 386055 471845 514740 566214 738540 772110 849321 943690 1132428 1415535 1544220 1698642 1887380 2831070 3397284 4246605 5662140 8493210 16986420