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19997280 = 253451543
BaseRepresentation
bin100110001001…
…0001001100000
31101121222010000
41030102021200
520104403110
61552340000
7331655052
oct114221140
941558100
1019997280
1110319286
126844600
1341b2114
1429278d2
151b501c0
hex1312260

19997280 has 120 divisors (see below), whose sum is σ = 70619472. Its totient is φ = 5329152.

The previous prime is 19997267. The next prime is 19997297. The reversal of 19997280 is 8279991.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12189 + ... + 13731.

Almost surely, 219997280 is an apocalyptic number.

19997280 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 19997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35309736).

19997280 is an abundant number, since it is smaller than the sum of its proper divisors (50622192).

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

19997280 is a wasteful number, since it uses less digits than its factorization.

19997280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 19997280 is about 4471.8318394144. The cubic root of 19997280 is about 271.4294557417.

It can be divided in two parts, 199 and 97280, that added together give a palindrome (97479).

The spelling of 19997280 in words is "nineteen million, nine hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1543 1620 2160 2592 3086 3240 4320 4629 6172 6480 7715 9258 12344 12960 13887 15430 18516 23145 24688 27774 30860 37032 41661 46290 49376 55548 61720 69435 74064 83322 92580 111096 123440 124983 138870 148128 166644 185160 208305 222192 246880 249966 277740 333288 370320 416610 444384 499932 555480 624915 666576 740640 833220 999864 1110960 1249830 1333152 1666440 1999728 2221920 2499660 3332880 3999456 4999320 6665760 9998640 19997280