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16420950 = 23252713401
BaseRepresentation
bin111110101001…
…000001010110
31010220021022100
4332221001112
513200432300
61343542530
7256401330
oct76510126
933807270
1016420950
1192a6337
1255baa46
13352c350
142276450
151695700
hexfa9056

16420950 has 144 divisors (see below), whose sum is σ = 54434016. Its totient is φ = 3456000.

The previous prime is 16420927. The next prime is 16420961. The reversal of 16420950 is 5902461.

16420950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 40750 + ... + 41150.

It is an arithmetic number, because the mean of its divisors is an integer number (378014).

Almost surely, 216420950 is an apocalyptic number.

16420950 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 16420950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27217008).

16420950 is an abundant number, since it is smaller than the sum of its proper divisors (38013066).

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

16420950 is a wasteful number, since it uses less digits than its factorization.

16420950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 16420950 is about 4052.2771376104. The cubic root of 16420950 is about 254.1749574769.

The spelling of 16420950 in words is "sixteen million, four hundred twenty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 401 450 455 525 546 585 630 650 802 819 910 975 1050 1170 1203 1365 1575 1638 1950 2005 2275 2406 2730 2807 2925 3150 3609 4010 4095 4550 5213 5614 5850 6015 6825 7218 8190 8421 10025 10426 12030 13650 14035 15639 16842 18045 20050 20475 25263 26065 28070 30075 31278 36090 36491 40950 42105 46917 50526 52130 60150 70175 72982 78195 84210 90225 93834 109473 126315 130325 140350 156390 180450 182455 210525 218946 234585 252630 260650 328419 364910 390975 421050 469170 547365 631575 656838 781950 912275 1094730 1172925 1263150 1642095 1824550 2345850 2736825 3284190 5473650 8210475 16420950