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16201920 = 263572411
BaseRepresentation
bin111101110011…
…100011000000
31010111010212010
4331303203000
513121430140
61335132520
7254466630
oct75634300
933433763
1016201920
119166819
125514140
133483747
14221a6c0
151650880
hexf738c0

16201920 has 112 divisors (see below), whose sum is σ = 58814208. Its totient is φ = 3701760.

The previous prime is 16201909. The next prime is 16201937. The reversal of 16201920 is 2910261.

16201920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 5515 + ... + 7925.

Almost surely, 216201920 is an apocalyptic number.

16201920 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 16201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29407104).

16201920 is an abundant number, since it is smaller than the sum of its proper divisors (42612288).

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

16201920 is a wasteful number, since it uses less digits than its factorization.

16201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 16201920 is about 4025.1608663506. The cubic root of 16201920 is about 253.0397954346.

The spelling of 16201920 in words is "sixteen million, two hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 2411 3360 4822 6720 7233 9644 12055 14466 16877 19288 24110 28932 33754 36165 38576 48220 50631 57864 67508 72330 77152 84385 96440 101262 115728 135016 144660 154304 168770 192880 202524 231456 253155 270032 289320 337540 385760 405048 462912 506310 540064 578640 675080 771520 810096 1012620 1080128 1157280 1350160 1620192 2025240 2314560 2700320 3240384 4050480 5400640 8100960 16201920