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142289280 = 2732573529
BaseRepresentation
bin10000111101100…
…10100110000000
3100220202001012100
420132302212000
5242411224110
622041430400
73345303360
oct1036624600
9326661170
10142289280
1173356051
123b79b400
132362c353
1414c7c9a0
15c759bc0
hex87b2980

142289280 has 192 divisors, whose sum is σ = 561693600. Its totient is φ = 32514048.

The previous prime is 142289267. The next prime is 142289299. The reversal of 142289280 is 82982241.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38556 + ... + 42084.

Almost surely, 2142289280 is an apocalyptic number.

142289280 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 142289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280846800).

142289280 is an abundant number, since it is smaller than the sum of its proper divisors (419404320).

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

142289280 is a wasteful number, since it uses less digits than its factorization.

142289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 142289280 is about 11928.5070314772. The cubic root of 142289280 is about 522.0643774919.

The spelling of 142289280 in words is "one hundred forty-two million, two hundred eighty-nine thousand, two hundred eighty".