Search a number
-
+
19280340 = 22325434753
BaseRepresentation
bin100100110001…
…1000111010100
31100021112122200
41021203013110
514413432330
61525124500
7322610622
oct111430724
940245580
1019280340
11a979672
126559730
133cc09b1
1427bc512
151a5ca60
hex12631d4

19280340 has 144 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 4822272.

The previous prime is 19280333. The next prime is 19280341. The reversal of 19280340 is 4308291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19280341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363754 + ... + 363806.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 219280340 is an apocalyptic number.

19280340 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 19280340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

19280340 is an abundant number, since it is smaller than the sum of its proper divisors (42989868).

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

19280340 is a wasteful number, since it uses less digits than its factorization.

19280340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19280340 is about 4390.9383962884. The cubic root of 19280340 is about 268.1461481029.

The spelling of 19280340 in words is "nineteen million, two hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 47 53 60 86 90 94 106 129 141 159 172 180 188 212 215 235 258 265 282 318 387 423 430 470 477 516 530 564 636 645 705 774 795 846 860 940 954 1060 1290 1410 1548 1590 1692 1908 1935 2021 2115 2279 2385 2491 2580 2820 3180 3870 4042 4230 4558 4770 4982 6063 6837 7473 7740 8084 8460 9116 9540 9964 10105 11395 12126 12455 13674 14946 18189 20210 20511 22419 22790 24252 24910 27348 29892 30315 34185 36378 37365 40420 41022 44838 45580 49820 60630 68370 72756 74730 82044 89676 90945 102555 107113 112095 121260 136740 149460 181890 205110 214226 224190 321339 363780 410220 428452 448380 535565 642678 964017 1071130 1285356 1606695 1928034 2142260 3213390 3856068 4820085 6426780 9640170 19280340