Search a number
-
+
19912950 = 232521719137
BaseRepresentation
bin100101111110…
…1100011110110
31101110200102200
41023331203312
520044203300
61550445330
7331154151
oct113754366
941420380
1019912950
1110270992
126803846
134182915
142904c98
151b35200
hex12fd8f6

19912950 has 144 divisors (see below), whose sum is σ = 60063120. Its totient is φ = 4700160.

The previous prime is 19912939. The next prime is 19912951. The reversal of 19912950 is 5921991.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19912951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145282 + ... + 145418.

It is an arithmetic number, because the mean of its divisors is an integer number (417105).

Almost surely, 219912950 is an apocalyptic number.

19912950 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 19912950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30031560).

19912950 is an abundant number, since it is smaller than the sum of its proper divisors (40150170).

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

19912950 is a wasteful number, since it uses less digits than its factorization.

19912950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 19912950 is about 4462.3928558566. The cubic root of 19912950 is about 271.0473721555.

The spelling of 19912950 in words is "nineteen million, nine hundred twelve thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 25 30 34 38 45 50 51 57 75 85 90 95 102 114 137 150 153 170 171 190 225 255 274 285 306 323 342 411 425 450 475 510 570 646 685 765 822 850 855 950 969 1233 1275 1370 1425 1530 1615 1710 1938 2055 2329 2466 2550 2603 2850 2907 3230 3425 3825 4110 4275 4658 4845 5206 5814 6165 6850 6987 7650 7809 8075 8550 9690 10275 11645 12330 13015 13974 14535 15618 16150 20550 20961 23290 23427 24225 26030 29070 30825 34935 39045 41922 44251 46854 48450 58225 61650 65075 69870 72675 78090 88502 104805 116450 117135 130150 132753 145350 174675 195225 209610 221255 234270 265506 349350 390450 398259 442510 524025 585675 663765 796518 1048050 1106275 1171350 1327530 1991295 2212550 3318825 3982590 6637650 9956475 19912950