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18141480 = 23325723313
BaseRepresentation
bin100010100110…
…1000100101000
31021010200102200
41011031010220
514121011410
61444500200
7310125420
oct105150450
937120380
1018141480
11a270a65
1260aa660
1339b2506
1425a3480
1518d53c0
hex114d128

18141480 has 192 divisors, whose sum is σ = 70536960. Its totient is φ = 3953664.

The previous prime is 18141469. The next prime is 18141491. The reversal of 18141480 is 8414181.

18141480 is a `hidden beast` number, since 181 + 4 + 1 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (18141469) and next prime (18141491).

It is a super-2 number, since 2×181414802 = 658226593180800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57804 + ... + 58116.

It is an arithmetic number, because the mean of its divisors is an integer number (367380).

Almost surely, 218141480 is an apocalyptic number.

18141480 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 18141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35268480).

18141480 is an abundant number, since it is smaller than the sum of its proper divisors (52395480).

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

18141480 is a wasteful number, since it uses less digits than its factorization.

18141480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 18141480 is about 4259.2816295709. The cubic root of 18141480 is about 262.7589824991.

The spelling of 18141480 in words is "eighteen million, one hundred forty-one thousand, four hundred eighty".