Search a number
-
+
19211940 = 223251131313
BaseRepresentation
bin100100101001…
…0011010100100
31100011001211100
41021102122210
514404240230
61523440100
7322204326
oct111223244
940131740
1019211940
11a932240
126526030
133c98817
1427a1616
151a47660
hex12526a4

19211940 has 144 divisors (see below), whose sum is σ = 65834496. Its totient is φ = 4492800.

The previous prime is 19211939. The next prime is 19211947. The reversal of 19211940 is 4911291.

It is not an unprimeable number, because it can be changed into a prime (19211947) 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, 61224 + ... + 61536.

It is an arithmetic number, because the mean of its divisors is an integer number (457184).

Almost surely, 219211940 is an apocalyptic number.

19211940 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 19211940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32917248).

19211940 is an abundant number, since it is smaller than the sum of its proper divisors (46622556).

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

19211940 is a wasteful number, since it uses less digits than its factorization.

19211940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 19211940 is about 4383.1427081490. The cubic root of 19211940 is about 267.8286756794.

The spelling of 19211940 in words is "nineteen million, two hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 313 330 341 372 396 465 495 558 620 626 660 682 930 939 990 1023 1116 1252 1364 1395 1565 1705 1860 1878 1980 2046 2790 2817 3069 3130 3410 3443 3756 4092 4695 5115 5580 5634 6138 6260 6820 6886 9390 9703 10230 10329 11268 12276 13772 14085 15345 17215 18780 19406 20460 20658 28170 29109 30690 30987 34430 38812 41316 48515 51645 56340 58218 61380 61974 68860 87327 97030 103290 106733 116436 123948 145545 154935 174654 194060 206580 213466 291090 309870 320199 349308 426932 436635 533665 582180 619740 640398 873270 960597 1067330 1280796 1600995 1746540 1921194 2134660 3201990 3842388 4802985 6403980 9605970 19211940