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19148700 = 22352293171
BaseRepresentation
bin100100100001…
…0111110011100
31100000212002010
41021002332130
514400224300
61522231220
7321522054
oct111027634
940025063
1019148700
11a89977a
1264b5510
133c75abc
142786564
151a33a50
hex1242f9c

19148700 has 144 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 4704000.

The previous prime is 19148699. The next prime is 19148737. The reversal of 19148700 is 784191.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269665 + ... + 269735.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 219148700 is an apocalyptic number.

19148700 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 19148700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

19148700 is an abundant number, since it is smaller than the sum of its proper divisors (40847460).

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

19148700 is a wasteful number, since it uses less digits than its factorization.

19148700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 19148700 is about 4375.9227598302. The cubic root of 19148700 is about 267.5344818274.

The spelling of 19148700 in words is "nineteen million, one hundred forty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 31 50 58 60 62 71 75 87 93 100 116 124 142 145 150 155 174 186 213 284 290 300 310 348 355 372 426 435 465 580 620 710 725 775 852 870 899 930 1065 1420 1450 1550 1740 1775 1798 1860 2059 2130 2175 2201 2325 2697 2900 3100 3550 3596 4118 4260 4350 4402 4495 4650 5325 5394 6177 6603 7100 8236 8700 8804 8990 9300 10295 10650 10788 11005 12354 13206 13485 17980 20590 21300 22010 22475 24708 26412 26970 30885 33015 41180 44020 44950 51475 53940 55025 61770 63829 66030 67425 89900 102950 110050 123540 127658 132060 134850 154425 165075 191487 205900 220100 255316 269700 308850 319145 330150 382974 617700 638290 660300 765948 957435 1276580 1595725 1914870 3191450 3829740 4787175 6382900 9574350 19148700