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19490940 = 22325731499
BaseRepresentation
bin100101001011…
…0100001111100
31100200020112200
41022112201330
514442202230
61533431500
7324445620
oct112264174
940606480
1019490940
1110002917
12663b590
134065801
142835180
151aa0160
hex129687c

19490940 has 144 divisors (see below), whose sum is σ = 69888000. Its totient is φ = 4302720.

The previous prime is 19490923. The next prime is 19490957. The reversal of 19490940 is 4909491.

It is an interprime number because it is at equal distance from previous prime (19490923) and next prime (19490957).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19490895 and 19490904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38811 + ... + 39309.

Almost surely, 219490940 is an apocalyptic number.

19490940 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 19490940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34944000).

19490940 is an abundant number, since it is smaller than the sum of its proper divisors (50397060).

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

19490940 is a wasteful number, since it uses less digits than its factorization.

19490940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19490940 is about 4414.8544709877. The cubic root of 19490940 is about 269.1189387568.

The spelling of 19490940 in words is "nineteen million, four hundred ninety thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 499 558 620 630 651 868 930 998 1085 1116 1260 1302 1395 1497 1860 1953 1996 2170 2495 2604 2790 2994 3255 3493 3906 4340 4491 4990 5580 5988 6510 6986 7485 7812 8982 9765 9980 10479 13020 13972 14970 15469 17465 17964 19530 20958 22455 29940 30938 31437 34930 39060 41916 44910 46407 52395 61876 62874 69860 77345 89820 92814 104790 108283 125748 139221 154690 157185 185628 209580 216566 232035 278442 309380 314370 324849 433132 464070 541415 556884 628740 649698 696105 928140 974547 1082830 1299396 1392210 1624245 1949094 2165660 2784420 3248490 3898188 4872735 6496980 9745470 19490940