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142492960 = 2552293889
BaseRepresentation
bin10000111111001…
…00010100100000
3100221010101121001
420133210110200
5242434233320
622050041344
73350112241
oct1037442440
9327111531
10142492960
1173485085
123b879254
13236a0c7c
1414cd2cc8
15c79a20a
hex87e4520

142492960 has 48 divisors (see below), whose sum is σ = 338196600. Its totient is φ = 56733696.

The previous prime is 142492949. The next prime is 142492967. The reversal of 142492960 is 69294241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 141419664 + 1073296 = 11892^2 + 1036^2 .

It is not an unprimeable number, because it can be changed into a prime (142492967) 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, 34696 + ... + 38584.

Almost surely, 2142492960 is an apocalyptic number.

142492960 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 142492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169098300).

142492960 is an abundant number, since it is smaller than the sum of its proper divisors (195703640).

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

142492960 is a wasteful number, since it uses less digits than its factorization.

142492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 142492960 is about 11937.0415095199. The cubic root of 142492960 is about 522.3133617569.

The spelling of 142492960 in words is "one hundred forty-two million, four hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 916 1145 1832 2290 3664 3889 4580 7328 7778 9160 15556 18320 19445 31112 36640 38890 62224 77780 124448 155560 311120 622240 890581 1781162 3562324 4452905 7124648 8905810 14249296 17811620 28498592 35623240 71246480 142492960