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141280200 = 2337521719
BaseRepresentation
bin10000110101111…
…00001111001000
3100211211210000000
420122330033020
5242131431300
622004043000
73333601425
oct1032741710
9324753000
10141280200
11728269a6
123b393460
1323367c69
1414a98d4c
15c60ac00
hex86bc3c8

141280200 has 384 divisors, whose sum is σ = 549072000. Its totient is φ = 33592320.

The previous prime is 141280189. The next prime is 141280207. The reversal of 141280200 is 2082141.

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

It is not an unprimeable number, because it can be changed into a prime (141280207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7435791 + ... + 7435809.

It is an arithmetic number, because the mean of its divisors is an integer number (1429875).

Almost surely, 2141280200 is an apocalyptic number.

141280200 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 141280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274536000).

141280200 is an abundant number, since it is smaller than the sum of its proper divisors (407791800).

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

141280200 is a wasteful number, since it uses less digits than its factorization.

141280200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141280200 is about 11886.1347796498. The cubic root of 141280200 is about 520.8273319131.

The spelling of 141280200 in words is "one hundred forty-one million, two hundred eighty thousand, two hundred".