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16819920 = 2433513599
BaseRepresentation
bin100000000101…
…0011011010000
31011122112121000
41000022123100
513301214140
61400302000
7262652445
oct100123320
934575530
1016819920
119549067
125771900
13363bb20
14233b9cc
151723a30
hex100a6d0

16819920 has 160 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 4133376.

The previous prime is 16819909. The next prime is 16819927. The reversal of 16819920 is 2991861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16819927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27781 + ... + 28379.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 216819920 is an apocalyptic number.

16819920 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 16819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

16819920 is an abundant number, since it is smaller than the sum of its proper divisors (45676080).

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

16819920 is a wasteful number, since it uses less digits than its factorization.

16819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 16819920 is about 4101.2095776734. The cubic root of 16819920 is about 256.2170197492.

The spelling of 16819920 in words is "sixteen million, eight hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 599 624 702 720 780 936 1040 1080 1170 1198 1404 1560 1755 1797 1872 2160 2340 2396 2808 2995 3120 3510 3594 4680 4792 5391 5616 5990 7020 7188 7787 8985 9360 9584 10782 11980 14040 14376 15574 16173 17970 21564 23361 23960 26955 28080 28752 31148 32346 35940 38935 43128 46722 47920 53910 62296 64692 70083 71880 77870 80865 86256 93444 107820 116805 124592 129384 140166 143760 155740 161730 186888 210249 215640 233610 258768 280332 311480 323460 350415 373776 420498 431280 467220 560664 622960 646920 700830 840996 934440 1051245 1121328 1293840 1401660 1681992 1868880 2102490 2803320 3363984 4204980 5606640 8409960 16819920