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142365300 = 223527116163
BaseRepresentation
bin10000111110001…
…01001001110100
3100220212220110220
420133011021310
5242421142200
622043214340
73346041120
oct1037051164
9326786426
10142365300
11733a8180
123b8173b0
1323657b2c
1414c9c580
15c7724a0
hex87c5274

142365300 has 144 divisors (see below), whose sum is σ = 513633792. Its totient is φ = 29577600.

The previous prime is 142365283. The next prime is 142365317. The reversal of 142365300 is 3563241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142365283) and next prime (142365317).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20019 + ... + 26181.

Almost surely, 2142365300 is an apocalyptic number.

142365300 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 142365300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256816896).

142365300 is an abundant number, since it is smaller than the sum of its proper divisors (371268492).

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

142365300 is a wasteful number, since it uses less digits than its factorization.

142365300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 142365300 is about 11931.6930902534. The cubic root of 142365300 is about 522.1573342915.

The spelling of 142365300 in words is "one hundred forty-two million, three hundred sixty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 6163 7700 11550 12326 18489 23100 24652 30815 36978 43141 61630 67793 73956 86282 92445 123260 129423 135586 154075 172564 184890 203379 215705 258846 271172 308150 338965 369780 406758 431410 462225 474551 517692 616300 647115 677930 813516 862820 924450 949102 1016895 1078525 1294230 1355860 1423653 1694825 1848900 1898204 2033790 2157050 2372755 2588460 2847306 3235575 3389650 4067580 4314100 4745510 5084475 5694612 6471150 6779300 7118265 9491020 10168950 11863775 12942300 14236530 20337900 23727550 28473060 35591325 47455100 71182650 142365300