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141327420 = 223513375983
BaseRepresentation
bin10000110110001…
…11110000111100
3100211221011202220
420123013300330
5242134434140
622005045340
73334156203
oct1033076074
9324834686
10141327420
1172859423
123b3b6850
13233835c0
1414aac23a
15c619bd0
hex86c7c3c

141327420 has 192 divisors, whose sum is σ = 450455040. Its totient is φ = 32873472.

The previous prime is 141327371. The next prime is 141327421. The reversal of 141327420 is 24723141.

It is a happy number.

141327420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141327421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1702699 + ... + 1702781.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2141327420 is an apocalyptic number.

141327420 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 141327420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

141327420 is an abundant number, since it is smaller than the sum of its proper divisors (309127620).

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

141327420 is a wasteful number, since it uses less digits than its factorization.

141327420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 141327420 is about 11888.1209616995. The cubic root of 141327420 is about 520.8853507229.

The spelling of 141327420 in words is "one hundred forty-one million, three hundred twenty-seven thousand, four hundred twenty".