Search a number
-
+
142160148 = 2232132347281
BaseRepresentation
bin10000111100100…
…11000100010100
3100220111111001200
420132103010110
5242343111043
622034552500
73344225034
oct1036230424
9326444050
10142160148
1173278029
123b738730
13235b5640
1414c478c4
15c7317d3
hex8793114

142160148 has 144 divisors (see below), whose sum is σ = 413876736. Its totient is φ = 40803840.

The previous prime is 142160143. The next prime is 142160153. The reversal of 142160148 is 841061241.

It is a happy number.

142160148 is a `hidden beast` number, since 14 + 2 + 1 + 601 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (142160143) and next prime (142160153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142160143) 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, 505768 + ... + 506048.

It is an arithmetic number, because the mean of its divisors is an integer number (2874144).

Almost surely, 2142160148 is an apocalyptic number.

142160148 is a gapful number since it is divisible by the number (18) 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 142160148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206938368).

142160148 is an abundant number, since it is smaller than the sum of its proper divisors (271716588).

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

142160148 is a wasteful number, since it uses less digits than its factorization.

142160148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 142160148 is about 11923.0930550759. The cubic root of 142160148 is about 521.9063997410.

The spelling of 142160148 in words is "one hundred forty-two million, one hundred sixty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 47 52 69 78 92 94 117 138 141 156 188 207 234 276 281 282 299 414 423 468 562 564 598 611 828 843 846 897 1081 1124 1196 1222 1686 1692 1794 1833 2162 2444 2529 2691 3243 3372 3588 3653 3666 4324 5058 5382 5499 6463 6486 7306 7332 9729 10116 10764 10959 10998 12926 12972 13207 14053 14612 19389 19458 21918 21996 25852 26414 28106 32877 38778 38916 39621 42159 43836 52828 56212 58167 65754 77556 79242 84019 84318 116334 118863 126477 131508 158484 168038 168636 171691 232668 237726 252057 252954 303761 336076 343382 475452 504114 505908 515073 607522 686764 756171 911283 1008228 1030146 1215044 1512342 1545219 1822566 2060292 2733849 3024684 3090438 3645132 3948893 5467698 6180876 7897786 10935396 11846679 15795572 23693358 35540037 47386716 71080074 142160148