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18130032 = 2432137919
BaseRepresentation
bin100010100101…
…0010001110000
31021010002201200
41011022101300
514120130112
61444331200
7310050144
oct105122160
937102650
1018130032
11a2633a8
1260a3b00
1339aa23b
14259d224
1518d1cdc
hex114a470

18130032 has 60 divisors (see below), whose sum is σ = 51164880. Its totient is φ = 5992704.

The previous prime is 18130031. The next prime is 18130033. The reversal of 18130032 is 23003181.

It is an interprime number because it is at equal distance from previous prime (18130031) and next prime (18130033).

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

It is a junction number, because it is equal to n+sod(n) for n = 18129987 and 18130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18130031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19269 + ... + 20187.

It is an arithmetic number, because the mean of its divisors is an integer number (852748).

Almost surely, 218130032 is an apocalyptic number.

18130032 is a gapful number since it is divisible by the number (12) 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 18130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25582440).

18130032 is an abundant number, since it is smaller than the sum of its proper divisors (33034848).

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

18130032 is a wasteful number, since it uses less digits than its factorization.

18130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 18130032 is about 4257.9375288982. The cubic root of 18130032 is about 262.7037003907.

The spelling of 18130032 in words is "eighteen million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 919 1096 1233 1644 1838 2192 2466 2757 3288 3676 4932 5514 6576 7352 8271 9864 11028 14704 16542 19728 22056 33084 44112 66168 125903 132336 251806 377709 503612 755418 1007224 1133127 1510836 2014448 2266254 3021672 4532508 6043344 9065016 18130032