Search a number
-
+
19127040 = 283517293
BaseRepresentation
bin100100011110…
…1101100000000
31022222202100220
41020331230000
514344031130
61521543040
7321401652
oct110755400
938882326
1019127040
11a884479
1264a4a80
133c68c9a
14277c6d2
151a2c410
hex123db00

19127040 has 144 divisors (see below), whose sum is σ = 64901088. Its totient is φ = 4784128.

The previous prime is 19127029. The next prime is 19127041. The reversal of 19127040 is 4072191.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 19127040.

It is not an unprimeable number, because it can be changed into a prime (19127041) 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, 65134 + ... + 65426.

It is an arithmetic number, because the mean of its divisors is an integer number (450702).

Almost surely, 219127040 is an apocalyptic number.

19127040 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 19127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32450544).

19127040 is an abundant number, since it is smaller than the sum of its proper divisors (45774048).

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

19127040 is a wasteful number, since it uses less digits than its factorization.

19127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 19127040 is about 4373.4471529904. The cubic root of 19127040 is about 267.4335701350.

The spelling of 19127040 in words is "nineteen million, one hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 293 320 340 384 408 480 510 544 586 640 680 768 816 879 960 1020 1088 1172 1280 1360 1465 1632 1758 1920 2040 2176 2344 2720 2930 3264 3516 3840 4080 4352 4395 4688 4981 5440 5860 6528 7032 8160 8790 9376 9962 10880 11720 13056 14064 14943 16320 17580 18752 19924 21760 23440 24905 28128 29886 32640 35160 37504 39848 46880 49810 56256 59772 65280 70320 74715 75008 79696 93760 99620 112512 119544 140640 149430 159392 187520 199240 225024 239088 281280 298860 318784 375040 398480 478176 562560 597720 637568 796960 956352 1125120 1195440 1275136 1593920 1912704 2390880 3187840 3825408 4781760 6375680 9563520 19127040