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19422720 = 29335281
BaseRepresentation
bin100101000010…
…1111000000000
31100112202222000
41022011320000
514433011340
61532144000
7324043002
oct112057000
940482860
1019422720
11aa66639
126608000
134040745
142818372
151a89d30
hex1285e00

19422720 has 160 divisors (see below), whose sum is σ = 69236640. Its totient is φ = 5160960.

The previous prime is 19422719. The next prime is 19422757. The reversal of 19422720 is 2722491.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 68980 + ... + 69260.

It is an arithmetic number, because the mean of its divisors is an integer number (432729).

Almost surely, 219422720 is an apocalyptic number.

19422720 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 19422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618320).

19422720 is an abundant number, since it is smaller than the sum of its proper divisors (49813920).

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

19422720 is an equidigital number, since it uses as much as digits as its factorization.

19422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 19422720 is about 4407.1215095570. The cubic root of 19422720 is about 268.8045917583.

The spelling of 19422720 in words is "nineteen million, four hundred twenty-two thousand, seven hundred twenty".

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 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 281 288 320 360 384 432 480 512 540 562 576 640 720 768 843 864 960 1080 1124 1152 1280 1405 1440 1536 1686 1728 1920 2160 2248 2304 2529 2560 2810 2880 3372 3456 3840 4215 4320 4496 4608 5058 5620 5760 6744 6912 7587 7680 8430 8640 8992 10116 11240 11520 12645 13488 13824 15174 16860 17280 17984 20232 22480 23040 25290 26976 30348 33720 34560 35968 37935 40464 44960 50580 53952 60696 67440 69120 71936 75870 80928 89920 101160 107904 121392 134880 143872 151740 161856 179840 202320 215808 242784 269760 303480 323712 359680 404640 431616 485568 539520 606960 647424 719360 809280 971136 1079040 1213920 1294848 1618560 1942272 2158080 2427840 3237120 3884544 4855680 6474240 9711360 19422720