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142895016 = 23341120047
BaseRepresentation
bin10001000010001…
…10011110101000
3100221212211010000
420201012132220
5243040120031
622102423000
73353405355
oct1041063650
9327784100
10142895016
117372a160
123ba31a60
13237b1c84
1414d9962c
15c8293e6
hex88467a8

142895016 has 80 divisors (see below), whose sum is σ = 436645440. Its totient is φ = 43299360.

The previous prime is 142895009. The next prime is 142895069. The reversal of 142895016 is 610598241.

142895016 is a `hidden beast` number, since 142 + 8 + 9 + 501 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 2896 + ... + 17151.

It is an arithmetic number, because the mean of its divisors is an integer number (5458068).

Almost surely, 2142895016 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 142895016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218322720).

142895016 is an abundant number, since it is smaller than the sum of its proper divisors (293750424).

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

142895016 is a wasteful number, since it uses less digits than its factorization.

142895016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20076 (or 20063 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 142895016 is about 11953.8703355859. The cubic root of 142895016 is about 522.8041509622.

The spelling of 142895016 in words is "one hundred forty-two million, eight hundred ninety-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 20047 40094 60141 80188 120282 160376 180423 220517 240564 360846 441034 481128 541269 661551 721692 882068 1082538 1323102 1443384 1623807 1764136 1984653 2165076 2646204 3247614 3969306 4330152 5292408 5953959 6495228 7938612 11907918 12990456 15877224 17861877 23815836 35723754 47631672 71447508 142895016