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19301120 = 28517887
BaseRepresentation
bin100100110100…
…0001100000000
31100022121011022
41021220030000
514420113440
61525405012
7323025326
oct111501400
940277138
1019301120
11a993243
126569768
133cca2a7
1427c5d16
151a63cb5
hex1268300

19301120 has 72 divisors (see below), whose sum is σ = 49006944. Its totient is φ = 7258112.

The previous prime is 19301099. The next prime is 19301143. The reversal of 19301120 is 2110391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21317 + ... + 22203.

It is an arithmetic number, because the mean of its divisors is an integer number (680652).

Almost surely, 219301120 is an apocalyptic number.

19301120 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 19301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24503472).

19301120 is an abundant number, since it is smaller than the sum of its proper divisors (29705824).

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

19301120 is an equidigital number, since it uses as much as digits as its factorization.

19301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 19301120 is about 4393.3039958555. The cubic root of 19301120 is about 268.2424478626.

The spelling of 19301120 in words is "nineteen million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 887 1088 1280 1360 1774 2176 2720 3548 4352 4435 5440 7096 8870 10880 14192 15079 17740 21760 28384 30158 35480 56768 60316 70960 75395 113536 120632 141920 150790 227072 241264 283840 301580 482528 567680 603160 965056 1135360 1206320 1930112 2412640 3860224 4825280 9650560 19301120