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18919680 = 283513379
BaseRepresentation
bin100100000101…
…1000100000000
31022121012220220
41020023010000
514320412210
61513303040
7316546263
oct110130400
938535826
1018919680
11a7526aa
126404a80
133bc57a0
142726cda
1519dac70
hex120b100

18919680 has 144 divisors (see below), whose sum is σ = 65244480. Its totient is φ = 4644864.

The previous prime is 18919673. The next prime is 18919697. The reversal of 18919680 is 8691981.

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, 49731 + ... + 50109.

Almost surely, 218919680 is an apocalyptic number.

18919680 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 18919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622240).

18919680 is an abundant number, since it is smaller than the sum of its proper divisors (46324800).

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

18919680 is a wasteful number, since it uses less digits than its factorization.

18919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 18919680 is about 4349.6758499916. The cubic root of 18919680 is about 266.4636232171.

The spelling of 18919680 in words is "eighteen million, nine hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 379 384 390 416 480 520 624 640 758 768 780 832 960 1040 1137 1248 1280 1516 1560 1664 1895 1920 2080 2274 2496 3032 3120 3328 3790 3840 4160 4548 4927 4992 5685 6064 6240 7580 8320 9096 9854 9984 11370 12128 12480 14781 15160 16640 18192 19708 22740 24256 24635 24960 29562 30320 36384 39416 45480 48512 49270 49920 59124 60640 72768 73905 78832 90960 97024 98540 118248 121280 145536 147810 157664 181920 197080 236496 242560 291072 295620 315328 363840 394160 472992 485120 591240 630656 727680 788320 945984 1182480 1261312 1455360 1576640 1891968 2364960 3153280 3783936 4729920 6306560 9459840 18919680