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142880760 = 233451119211
BaseRepresentation
bin10001000010000…
…10111111111000
3100221212002120000
420201002333320
5243034141020
622102233000
73353315661
oct1041027770
9327762500
10142880760
117371a480
123ba25760
13237a8639
1414d94368
15c825090
hex8842ff8

142880760 has 320 divisors, whose sum is σ = 554083200. Its totient is φ = 32659200.

The previous prime is 142880753. The next prime is 142880789. The reversal of 142880760 is 67088241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 677055 + ... + 677265.

It is an arithmetic number, because the mean of its divisors is an integer number (1731510).

Almost surely, 2142880760 is an apocalyptic number.

142880760 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 142880760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277041600).

142880760 is an abundant number, since it is smaller than the sum of its proper divisors (411202440).

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

142880760 is a wasteful number, since it uses less digits than its factorization.

142880760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 142880760 is about 11953.2740284827. The cubic root of 142880760 is about 522.7867644359.

The spelling of 142880760 in words is "one hundred forty-two million, eight hundred eighty thousand, seven hundred sixty".