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142120170 = 23451710321
BaseRepresentation
bin10000111100010…
…01010011101010
3100220102110020000
420132021103222
5242340321140
622034043430
73344000343
oct1036112352
9326373200
10142120170
117324aa95
123b719576
13235a039a
1414c370ca
15c724a30
hex87894ea

142120170 has 80 divisors (see below), whose sum is σ = 404663688. Its totient is φ = 35665920.

The previous prime is 142120169. The next prime is 142120177. The reversal of 142120170 is 71021241.

It can be written as a sum of positive squares in 4 ways, for example, as 130850721 + 11269449 = 11439^2 + 3357^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142120177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8610 + ... + 18930.

Almost surely, 2142120170 is an apocalyptic number.

142120170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142120170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202331844).

142120170 is an abundant number, since it is smaller than the sum of its proper divisors (262543518).

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

142120170 is a wasteful number, since it uses less digits than its factorization.

142120170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 142120170 is about 11921.4164426883. The cubic root of 142120170 is about 521.8574719871.

The spelling of 142120170 in words is "one hundred forty-two million, one hundred twenty thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 10321 13770 20642 30963 51605 61926 92889 103210 154815 175457 185778 278667 309630 350914 464445 526371 557334 836001 877285 928890 1052742 1393335 1579113 1672002 1754570 2631855 2786670 3158226 4180005 4737339 5263710 7895565 8360010 9474678 14212017 15791130 23686695 28424034 47373390 71060085 142120170