Search a number
-
+
142350660 = 2232519107389
BaseRepresentation
bin10000111110000…
…01100101000100
3100220212011101200
420133001211010
5242420210120
622043022500
73345650334
oct1037014504
9326764350
10142350660
1173398181
123b80aa30
132365127a
1414c970c4
15c76ce90
hex87c1944

142350660 has 144 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 35534592.

The previous prime is 142350643. The next prime is 142350661. The reversal of 142350660 is 66053241.

It is not an unprimeable number, because it can be changed into a prime (142350661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 365746 + ... + 366134.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2142350660 is an apocalyptic number.

142350660 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 142350660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

142350660 is an abundant number, since it is smaller than the sum of its proper divisors (317599740).

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

142350660 is a wasteful number, since it uses less digits than its factorization.

142350660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 142350660 is about 11931.0795823345. The cubic root of 142350660 is about 522.1394351605.

The spelling of 142350660 in words is "one hundred forty-two million, three hundred fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 107 114 171 180 190 214 228 285 321 342 380 389 428 535 570 642 684 778 855 963 1070 1140 1167 1284 1556 1605 1710 1926 1945 2033 2140 2334 3210 3420 3501 3852 3890 4066 4668 4815 5835 6099 6420 7002 7391 7780 8132 9630 10165 11670 12198 14004 14782 17505 18297 19260 20330 22173 23340 24396 29564 30495 35010 36594 36955 40660 41623 44346 60990 66519 70020 73188 73910 83246 88692 91485 110865 121980 124869 133038 147820 166492 182970 208115 221730 249738 266076 332595 365940 374607 416230 443460 499476 624345 665190 749214 790837 832460 1248690 1330380 1498428 1581674 1873035 2372511 2497380 3163348 3746070 3954185 4745022 7117533 7492140 7908370 9490044 11862555 14235066 15816740 23725110 28470132 35587665 47450220 71175330 142350660