Search a number
-
+
19123020 = 2233575059
BaseRepresentation
bin100100011110…
…0101101001100
31022222112212000
41020330231030
514343414040
61521512300
7321354150
oct110745514
938875760
1019123020
11a881454
1264a2690
133c671c7
14277b060
151a2b130
hex123cb4c

19123020 has 96 divisors (see below), whose sum is σ = 68006400. Its totient is φ = 4370112.

The previous prime is 19122991. The next prime is 19123033. The reversal of 19123020 is 2032191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 19122984 and 19123002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1251 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (708400).

Almost surely, 219123020 is an apocalyptic number.

19123020 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 19123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34003200).

19123020 is an abundant number, since it is smaller than the sum of its proper divisors (48883380).

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

19123020 is a wasteful number, since it uses less digits than its factorization.

19123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 19123020 is about 4372.9875371421. The cubic root of 19123020 is about 267.4148329915.

The spelling of 19123020 in words is "nineteen million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5059 10118 15177 20236 25295 30354 35413 45531 50590 60708 70826 75885 91062 101180 106239 136593 141652 151770 177065 182124 212478 227655 273186 303540 318717 354130 424956 455310 531195 546372 637434 682965 708260 910620 956151 1062390 1274868 1365930 1593585 1912302 2124780 2731860 3187170 3824604 4780755 6374340 9561510 19123020