Search a number
-
+
19361440 = 255759293
BaseRepresentation
bin100100111011…
…0111010100000
31100102122220101
41021312322200
514424031230
61530552144
7323366230
oct111667240
940378811
1019361440
11aa2459a
126598654
13401b897
1427ddcc0
151a76aca
hex1276ea0

19361440 has 96 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 6503424.

The previous prime is 19361429. The next prime is 19361443. The reversal of 19361440 is 4416391.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 19361399 and 19361408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19361443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65934 + ... + 66226.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 219361440 is an apocalyptic number.

19361440 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 19361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

19361440 is an abundant number, since it is smaller than the sum of its proper divisors (33981920).

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

19361440 is a wasteful number, since it uses less digits than its factorization.

19361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 19361440 is about 4400.1636333209. The cubic root of 19361440 is about 268.5215950136.

The spelling of 19361440 in words is "nineteen million, three hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 293 295 413 472 560 586 590 826 944 1120 1172 1180 1465 1652 1888 2051 2065 2344 2360 2930 3304 4102 4130 4688 4720 5860 6608 8204 8260 9376 9440 10255 11720 13216 16408 16520 17287 20510 23440 32816 33040 34574 41020 46880 65632 66080 69148 82040 86435 121009 138296 164080 172870 242018 276592 328160 345740 484036 553184 605045 691480 968072 1210090 1382960 1936144 2420180 2765920 3872288 4840360 9680720 19361440