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19962080 = 2551741179
BaseRepresentation
bin100110000100…
…1100011100000
31101120011211022
41030021203200
520102241310
61551505012
7331450325
oct114114340
941504738
1019962080
11102a4896
126828168
13419c0a8
142918b4c
151b44a55
hex13098e0

19962080 has 96 divisors (see below), whose sum is σ = 51438240. Its totient is φ = 7290880.

The previous prime is 19962073. The next prime is 19962113. The reversal of 19962080 is 8026991.

It is a self number, because there is not a number n which added to its sum of digits gives 19962080.

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, 111431 + ... + 111609.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 219962080 is an apocalyptic number.

19962080 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 19962080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719120).

19962080 is an abundant number, since it is smaller than the sum of its proper divisors (31476160).

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

19962080 is a wasteful number, since it uses less digits than its factorization.

19962080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 19962080 is about 4467.8943586437. The cubic root of 19962080 is about 271.2701019314.

The spelling of 19962080 in words is "nineteen million, nine hundred sixty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 179 205 272 328 340 358 410 544 656 680 697 716 820 895 1312 1360 1394 1432 1640 1790 2720 2788 2864 3043 3280 3485 3580 5576 5728 6086 6560 6970 7160 7339 11152 12172 13940 14320 14678 15215 22304 24344 27880 28640 29356 30430 36695 48688 55760 58712 60860 73390 97376 111520 117424 121720 124763 146780 234848 243440 249526 293560 486880 499052 587120 623815 998104 1174240 1247630 1996208 2495260 3992416 4990520 9981040 19962080