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18957120 = 2635721331
BaseRepresentation
bin100100001010…
…0001101000000
31022200010021120
41020110031000
514323111440
61514152240
7320063400
oct110241500
938603246
1018957120
11a778846
126422680
133c09840
142736800
1519e6dd0
hex1214340

18957120 has 336 divisors, whose sum is σ = 77833728. Its totient is φ = 3870720.

The previous prime is 18957119. The next prime is 18957131. The reversal of 18957120 is 2175981.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 611505 + ... + 611535.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 218957120 is an apocalyptic number.

18957120 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 18957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38916864).

18957120 is an abundant number, since it is smaller than the sum of its proper divisors (58876608).

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

18957120 is a wasteful number, since it uses less digits than its factorization.

18957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 18957120 is about 4353.9774919032. The cubic root of 18957120 is about 266.6392749642.

The spelling of 18957120 in words is "eighteen million, nine hundred fifty-seven thousand, one hundred twenty".