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18113040 = 24325112287
BaseRepresentation
bin100010100011…
…0001000010000
31021002020102100
41011012020100
514114104130
61444120400
7306646461
oct105061020
937066370
1018113040
11a251660
126096100
1339a259a
142596d68
1518cbc60
hex1146210

18113040 has 120 divisors (see below), whose sum is σ = 66388608. Its totient is φ = 4389120.

The previous prime is 18113033. The next prime is 18113047. The reversal of 18113040 is 4031181.

It is an interprime number because it is at equal distance from previous prime (18113033) and next prime (18113047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (18113047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6777 + ... + 9063.

Almost surely, 218113040 is an apocalyptic number.

18113040 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 18113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194304).

18113040 is an abundant number, since it is smaller than the sum of its proper divisors (48275568).

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

18113040 is a wasteful number, since it uses less digits than its factorization.

18113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18113040 is about 4255.9417289244. The cubic root of 18113040 is about 262.6216035222.

It can be divided in two parts, 1811 and 3040, that added together give a triangular number (4851 = T98).

The spelling of 18113040 in words is "eighteen million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2287 2640 3960 4574 6861 7920 9148 11435 13722 18296 20583 22870 25157 27444 34305 36592 41166 45740 50314 54888 68610 75471 82332 91480 100628 102915 109776 125785 137220 150942 164664 182960 201256 205830 226413 251570 274440 301884 329328 377355 402512 411660 452826 503140 548880 603768 754710 823320 905652 1006280 1132065 1207536 1509420 1646640 1811304 2012560 2264130 3018840 3622608 4528260 6037680 9056520 18113040