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142156080 = 243351131193
BaseRepresentation
bin10000111100100…
…10000100110000
3100220111021111000
420132102010300
5242342443310
622034522000
73344210133
oct1036220460
9326437430
10142156080
1173274a70
123b736300
13235b3831
1414c4621a
15c7304c0
hex8792130

142156080 has 320 divisors, whose sum is σ = 554250240. Its totient is φ = 33177600.

The previous prime is 142156073. The next prime is 142156087. The reversal of 142156080 is 80651241.

142156080 is a `hidden beast` number, since 1 + 4 + 21 + 560 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (142156073) and next prime (142156087).

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 (142156087) 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, 736464 + ... + 736656.

It is an arithmetic number, because the mean of its divisors is an integer number (1732032).

Almost surely, 2142156080 is an apocalyptic number.

142156080 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 142156080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277125120).

142156080 is an abundant number, since it is smaller than the sum of its proper divisors (412094160).

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

142156080 is a wasteful number, since it uses less digits than its factorization.

142156080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 142156080 is about 11922.9224605379. The cubic root of 142156080 is about 521.9014214694.

The spelling of 142156080 in words is "one hundred forty-two million, one hundred fifty-six thousand, eighty".