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141916320 = 25335713192
BaseRepresentation
bin10000111010101…
…11100010100000
3100220001002121000
420131113202200
5242312310240
622025432000
73342161130
oct1035274240
9326032530
10141916320
1173120917
123b63b600
132352b670
1414bc2ac0
15c6d4430
hex87578a0

141916320 has 576 divisors, whose sum is σ = 645200640. Its totient is φ = 28366848.

The previous prime is 141916319. The next prime is 141916321. The reversal of 141916320 is 23619141.

141916320 is a `hidden beast` number, since 14 + 19 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (141916319) and next prime (141916321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141916321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7469271 + ... + 7469289.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 2141916320 is an apocalyptic number.

141916320 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 141916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

141916320 is an abundant number, since it is smaller than the sum of its proper divisors (503284320).

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

141916320 is a wasteful number, since it uses less digits than its factorization.

141916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 141916320 is about 11912.8636355832. The cubic root of 141916320 is about 521.6078439233.

The spelling of 141916320 in words is "one hundred forty-one million, nine hundred sixteen thousand, three hundred twenty".