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142159080 = 23357832039
BaseRepresentation
bin10000111100100…
…10110011101000
3100220111102121010
420132102303220
5242343042310
622034543520
73344221650
oct1036226350
9326442533
10142159080
1173277248
123b737ba0
13235b4ccb
1414c47360
15c731320
hex8792ce8

142159080 has 128 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 32086272.

The previous prime is 142159079. The next prime is 142159081. The reversal of 142159080 is 80951241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142159079) and next prime (142159081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (142159081) 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 31 ways as a sum of consecutive naturals, for example, 68701 + ... + 70739.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2142159080 is an apocalyptic number.

142159080 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 142159080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

142159080 is an abundant number, since it is smaller than the sum of its proper divisors (351357720).

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

142159080 is a wasteful number, since it uses less digits than its factorization.

142159080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 142159080 is about 11923.0482679556. The cubic root of 142159080 is about 521.9050927703.

The spelling of 142159080 in words is "one hundred forty-two million, one hundred fifty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 83 84 105 120 140 166 168 210 249 280 332 415 420 498 581 664 830 840 996 1162 1245 1660 1743 1992 2039 2324 2490 2905 3320 3486 4078 4648 4980 5810 6117 6972 8156 8715 9960 10195 11620 12234 13944 14273 16312 17430 20390 23240 24468 28546 30585 34860 40780 42819 48936 57092 61170 69720 71365 81560 85638 114184 122340 142730 169237 171276 214095 244680 285460 338474 342552 428190 507711 570920 676948 846185 856380 1015422 1184659 1353896 1692370 1712760 2030844 2369318 2538555 3384740 3553977 4061688 4738636 5077110 5923295 6769480 7107954 9477272 10154220 11846590 14215908 17769885 20308440 23693180 28431816 35539770 47386360 71079540 142159080