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142959104 = 29319007
BaseRepresentation
bin10001000010101…
…10001000000000
3100222000002000122
420201112020000
5243044142404
622104035412
73354063251
oct1041261000
9328002018
10142959104
1173773322
123ba62b68
13238051b2
1414db4b28
15c83d3be
hex8856200

142959104 has 40 divisors (see below), whose sum is σ = 294885888. Its totient is φ = 69166080.

The previous prime is 142959079. The next prime is 142959119. The reversal of 142959104 is 401959241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11369 + ... + 20375.

Almost surely, 2142959104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147442944).

142959104 is an abundant number, since it is smaller than the sum of its proper divisors (151926784).

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

142959104 is an frugal number, since it uses more digits than its factorization.

142959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 142959104 is about 11956.5506731666. The cubic root of 142959104 is about 522.8822979953.

The spelling of 142959104 in words is "one hundred forty-two million, nine hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 9007 15872 18014 36028 72056 144112 279217 288224 558434 576448 1116868 1152896 2233736 2305792 4467472 4611584 8934944 17869888 35739776 71479552 142959104