Search a number
-
+
19043040 = 253597409
BaseRepresentation
bin100100010100…
…1001011100000
31022211111010210
41020221023200
514333334130
61520054120
7320602032
oct110511340
938744123
1019043040
11a827355
126464340
133c39993
142759c52
151a125b0
hex12292e0

19043040 has 96 divisors (see below), whose sum is σ = 60752160. Its totient is φ = 5013504.

The previous prime is 19043033. The next prime is 19043047. The reversal of 19043040 is 4034091.

It is an interprime number because it is at equal distance from previous prime (19043033) and next prime (19043047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 19042998 and 19043016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19043047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46356 + ... + 46764.

It is an arithmetic number, because the mean of its divisors is an integer number (632835).

Almost surely, 219043040 is an apocalyptic number.

19043040 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 19043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30376080).

19043040 is an abundant number, since it is smaller than the sum of its proper divisors (41709120).

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

19043040 is a wasteful number, since it uses less digits than its factorization.

19043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 19043040 is about 4363.8331773797. The cubic root of 19043040 is about 267.0415006540.

The spelling of 19043040 in words is "nineteen million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 409 480 485 582 776 818 970 1164 1227 1455 1552 1636 1940 2045 2328 2454 2910 3104 3272 3880 4090 4656 4908 5820 6135 6544 7760 8180 9312 9816 11640 12270 13088 15520 16360 19632 23280 24540 32720 39264 39673 46560 49080 65440 79346 98160 119019 158692 196320 198365 238038 317384 396730 476076 595095 634768 793460 952152 1190190 1269536 1586920 1904304 2380380 3173840 3808608 4760760 6347680 9521520 19043040