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142005060 = 223253372341
BaseRepresentation
bin10000111011011…
…01001101000100
3100220012121022200
420131231031010
5242323130220
622031354500
73343010631
oct1035551504
9326177280
10142005060
117318155a
123b682a30
132355cb82
1414c07188
15c700890
hex876d344

142005060 has 72 divisors (see below), whose sum is σ = 432211416. Its totient is φ = 37739520.

The previous prime is 142005047. The next prime is 142005067. The reversal of 142005060 is 60500241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10810944 + 131194116 = 3288^2 + 11454^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142005067) 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 23 ways as a sum of consecutive naturals, for example, 59490 + ... + 61830.

Almost surely, 2142005060 is an apocalyptic number.

142005060 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 142005060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216105708).

142005060 is an abundant number, since it is smaller than the sum of its proper divisors (290206356).

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

142005060 is a wasteful number, since it uses less digits than its factorization.

142005060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142005060 is about 11916.5875988053. The cubic root of 142005060 is about 521.7165413952.

The spelling of 142005060 in words is "one hundred forty-two million, five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1685 2022 2341 3033 3370 4044 4682 5055 6066 6740 7023 9364 10110 11705 12132 14046 15165 20220 21069 23410 28092 30330 35115 42138 46820 60660 70230 84276 105345 140460 210690 421380 788917 1577834 2366751 3155668 3944585 4733502 7100253 7889170 9467004 11833755 14200506 15778340 23667510 28401012 35501265 47335020 71002530 142005060