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142095870 = 23457191319
BaseRepresentation
bin10000111100000…
…11010111111110
3100220101012220000
420132003113332
5242334031440
622033335130
73343536450
oct1036032776
9326335800
10142095870
1173233804
123b7074a6
13235922c7
1414c2c2d0
15c71c730
hex87835fe

142095870 has 160 divisors (see below), whose sum is σ = 459993600. Its totient is φ = 30746304.

The previous prime is 142095859. The next prime is 142095881. The reversal of 142095870 is 78590241.

It is an interprime number because it is at equal distance from previous prime (142095859) and next prime (142095881).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107071 + ... + 108389.

It is an arithmetic number, because the mean of its divisors is an integer number (2874960).

Almost surely, 2142095870 is an apocalyptic number.

142095870 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 142095870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229996800).

142095870 is an abundant number, since it is smaller than the sum of its proper divisors (317897730).

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

142095870 is a wasteful number, since it uses less digits than its factorization.

142095870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 142095870 is about 11920.3972249250. The cubic root of 142095870 is about 521.8277275359.

The spelling of 142095870 in words is "one hundred forty-two million, ninety-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 513 567 570 630 665 798 810 855 945 1026 1134 1197 1319 1330 1539 1710 1890 1995 2394 2565 2638 2835 3078 3591 3957 3990 5130 5670 5985 6595 7182 7695 7914 9233 10773 11871 11970 13190 15390 17955 18466 19785 21546 23742 25061 27699 35613 35910 39570 46165 50122 53865 55398 59355 71226 75183 83097 92330 106839 107730 118710 125305 138495 150366 166194 175427 178065 213678 225549 249291 250610 276990 350854 356130 375915 415485 451098 498582 526281 534195 676647 747873 751830 830970 877135 1052562 1068390 1127745 1246455 1353294 1495746 1578843 1754270 2029941 2255490 2492910 2631405 3157686 3383235 3739365 4059882 4736529 5262810 6766470 7478730 7894215 9473058 10149705 14209587 15788430 20299410 23682645 28419174 47365290 71047935 142095870