Search a number
-
+
19268730 = 23251343383
BaseRepresentation
bin100100110000…
…0010001111010
31100020221201200
41021200101322
514413044410
61524555030
7322532025
oct111402172
940227650
1019268730
11a970978
126552a76
133cb8620
1427b81bc
151a593c0
hex126047a

19268730 has 96 divisors (see below), whose sum is σ = 55351296. Its totient is φ = 4620672.

The previous prime is 19268723. The next prime is 19268737. The reversal of 19268730 is 3786291.

It is an interprime number because it is at equal distance from previous prime (19268723) and next prime (19268737).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19268737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50119 + ... + 50501.

It is an arithmetic number, because the mean of its divisors is an integer number (576576).

Almost surely, 219268730 is an apocalyptic number.

19268730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19268730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27675648).

19268730 is an abundant number, since it is smaller than the sum of its proper divisors (36082566).

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

19268730 is a wasteful number, since it uses less digits than its factorization.

19268730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19268730 is about 4389.6161563399. The cubic root of 19268730 is about 268.0923143034.

The spelling of 19268730 in words is "nineteen million, two hundred sixty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 383 387 390 430 559 585 645 766 774 1118 1149 1170 1290 1677 1915 1935 2298 2795 3354 3447 3830 3870 4979 5031 5590 5745 6894 8385 9958 10062 11490 14937 16469 16770 17235 24895 25155 29874 32938 34470 44811 49407 49790 50310 74685 82345 89622 98814 148221 149370 164690 214097 224055 247035 296442 428194 448110 494070 642291 741105 1070485 1284582 1482210 1926873 2140970 3211455 3853746 6422910 9634365 19268730