Search a number
-
+
19053960 = 23351961137
BaseRepresentation
bin100100010101…
…1110110001000
31022212001010020
41020223312020
514334211320
61520220440
7320645622
oct110536610
938761106
1019053960
11a834582
12646a720
133c41943
14275dc12
151a15940
hex122bd88

19053960 has 128 divisors (see below), whose sum is σ = 61603200. Its totient is φ = 4700160.

The previous prime is 19053901. The next prime is 19053961. The reversal of 19053960 is 6935091.

It is not an unprimeable number, because it can be changed into a prime (19053961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139012 + ... + 139148.

It is an arithmetic number, because the mean of its divisors is an integer number (481275).

Almost surely, 219053960 is an apocalyptic number.

19053960 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 19053960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30801600).

19053960 is an abundant number, since it is smaller than the sum of its proper divisors (42549240).

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

19053960 is a wasteful number, since it uses less digits than its factorization.

19053960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 19053960 is about 4365.0841916279. The cubic root of 19053960 is about 267.0925348020.

The spelling of 19053960 in words is "nineteen million, fifty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 61 76 95 114 120 122 137 152 183 190 228 244 274 285 305 366 380 411 456 488 548 570 610 685 732 760 822 915 1096 1140 1159 1220 1370 1464 1644 1830 2055 2280 2318 2440 2603 2740 3288 3477 3660 4110 4636 5206 5480 5795 6954 7320 7809 8220 8357 9272 10412 11590 13015 13908 15618 16440 16714 17385 20824 23180 25071 26030 27816 31236 33428 34770 39045 41785 46360 50142 52060 62472 66856 69540 78090 83570 100284 104120 125355 139080 156180 158783 167140 200568 250710 312360 317566 334280 476349 501420 635132 793915 952698 1002840 1270264 1587830 1905396 2381745 3175660 3810792 4763490 6351320 9526980 19053960