Search a number
-
+
18051440 = 2451173281
BaseRepresentation
bin100010011011…
…1000101110000
31020222002220212
41010313011300
514110121230
61442523252
7306302051
oct104670560
936862825
1018051440
11a20a350
126066528
133980534
14257c728
1518b8895
hex1137170

18051440 has 80 divisors (see below), whose sum is σ = 46577376. Its totient is φ = 6451200.

The previous prime is 18051413. The next prime is 18051457. The reversal of 18051440 is 4415081.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64100 + ... + 64380.

Almost surely, 218051440 is an apocalyptic number.

18051440 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 18051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23288688).

18051440 is an abundant number, since it is smaller than the sum of its proper divisors (28525936).

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

18051440 is a wasteful number, since it uses less digits than its factorization.

18051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 18051440 is about 4248.6986242849. The cubic root of 18051440 is about 262.3235518670.

The spelling of 18051440 in words is "eighteen million, fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 281 292 365 440 562 584 730 803 880 1124 1168 1405 1460 1606 2248 2810 2920 3091 3212 4015 4496 5620 5840 6182 6424 8030 11240 12364 12848 15455 16060 20513 22480 24728 30910 32120 41026 49456 61820 64240 82052 102565 123640 164104 205130 225643 247280 328208 410260 451286 820520 902572 1128215 1641040 1805144 2256430 3610288 4512860 9025720 18051440