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142581738 = 231319234789
BaseRepresentation
bin10000111111110…
…01111111101010
3100221021220101010
420133321333222
5243000103423
622052004350
73350632125
oct1037717752
9327256333
10142581738
1173535852
123b9006b6
13237024c0
1414d173bc
15c7b6693
hex87f9fea

142581738 has 128 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 38472192.

The previous prime is 142581697. The next prime is 142581739. The reversal of 142581738 is 837185241.

It is a super-2 number, since 2×1425817382 = 40659104022201288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 142581696 and 142581705.

It is not an unprimeable number, because it can be changed into a prime (142581739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1601998 + ... + 1602086.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2142581738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142581738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

142581738 is an abundant number, since it is smaller than the sum of its proper divisors (205783062).

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

142581738 is a wasteful number, since it uses less digits than its factorization.

142581738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its digits is 53760, while the sum is 39.

The square root of 142581738 is about 11940.7595235814. The cubic root of 142581738 is about 522.4218122819.

The spelling of 142581738 in words is "one hundred forty-two million, five hundred eighty-one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 47 57 69 78 89 94 114 138 141 178 247 267 282 299 437 494 534 598 611 741 874 893 897 1081 1157 1222 1311 1482 1691 1786 1794 1833 2047 2162 2314 2622 2679 3243 3382 3471 3666 4094 4183 5073 5358 5681 6141 6486 6942 8366 10146 11362 11609 12282 12549 14053 17043 20539 21983 23218 25098 26611 28106 34086 34827 38893 41078 42159 43966 53222 54379 61617 65949 69654 77786 79477 79833 84318 96209 108758 116679 123234 131898 158954 159666 163137 192418 233358 238431 267007 288627 326274 476862 505609 534014 577254 801021 1011218 1033201 1250717 1516827 1602042 1827971 2066402 2501434 3033654 3099603 3655942 3752151 5483913 6199206 7504302 10967826 23763623 47527246 71290869 142581738