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142188880 = 2459111951
BaseRepresentation
bin10000111100110…
…10000101010000
3100220112221110211
420132122011100
5242400021010
622035333504
73344404561
oct1036320520
9326487424
10142188880
1173297679
123b751294
13235c5742
1414c54168
15c73a08a
hex879a150

142188880 has 40 divisors (see below), whose sum is σ = 331121664. Its totient is φ = 56784000.

The previous prime is 142188811. The next prime is 142188881. The reversal of 142188880 is 88881241.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142188881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 71905 + ... + 73855.

Almost surely, 2142188880 is an apocalyptic number.

142188880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142188880 is an abundant number, since it is smaller than the sum of its proper divisors (188932784).

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

142188880 is a wasteful number, since it uses less digits than its factorization.

142188880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 142188880 is about 11924.2978828944. The cubic root of 142188880 is about 521.9415582219.

The spelling of 142188880 in words is "one hundred forty-two million, one hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 911 1822 1951 3644 3902 4555 7288 7804 9110 9755 14576 15608 18220 19510 31216 36440 39020 72880 78040 156080 1777361 3554722 7109444 8886805 14218888 17773610 28437776 35547220 71094440 142188880