[go: up one dir, main page]

Search a number
-
+
18140160 = 210351181
BaseRepresentation
bin100010100110…
…0110000000000
31021010121121210
41011030300000
514120441120
61444450120
7310121523
oct105146000
937117553
1018140160
11a26aa75
1260a9940
1339b1a2c
1425a2bba
1518d4ce0
hex114cc00

18140160 has 88 divisors (see below), whose sum is σ = 58069296. Its totient is φ = 4833280.

The previous prime is 18140159. The next prime is 18140179. The reversal of 18140160 is 6104181.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14770 + ... + 15950.

Almost surely, 218140160 is an apocalyptic number.

18140160 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 18140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29034648).

18140160 is an abundant number, since it is smaller than the sum of its proper divisors (39929136).

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

18140160 is a wasteful number, since it uses less digits than its factorization.

18140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 18140160 is about 4259.1266710442. The cubic root of 18140160 is about 262.7526094382.

The spelling of 18140160 in words is "eighteen million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1181 1280 1536 1920 2362 2560 3072 3543 3840 4724 5120 5905 7086 7680 9448 11810 14172 15360 17715 18896 23620 28344 35430 37792 47240 56688 70860 75584 94480 113376 141720 151168 188960 226752 283440 302336 377920 453504 566880 604672 755840 907008 1133760 1209344 1511680 1814016 2267520 3023360 3628032 4535040 6046720 9070080 18140160