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142010520 = 233517671039
BaseRepresentation
bin10000111011011…
…10100010011000
3100220012212210220
420131232202120
5242323314040
622031440040
73343032561
oct1035564230
9326185726
10142010520
1173185673
123b686020
13235624c2
1414c09168
15c7022d0
hex876e898

142010520 has 128 divisors (see below), whose sum is σ = 458265600. Its totient is φ = 35076096.

The previous prime is 142010509. The next prime is 142010521. The reversal of 142010520 is 25010241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142010520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142010521) 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, 136161 + ... + 137199.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2142010520 is an apocalyptic number.

142010520 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 142010520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

142010520 is an abundant number, since it is smaller than the sum of its proper divisors (316255080).

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

142010520 is a wasteful number, since it uses less digits than its factorization.

142010520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 142010520 is about 11916.8166890324. The cubic root of 142010520 is about 521.7232278607.

Adding to 142010520 its reverse (25010241), we get a palindrome (167020761).

The spelling of 142010520 in words is "one hundred forty-two million, ten thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 67 68 85 102 120 134 136 170 201 204 255 268 335 340 402 408 510 536 670 680 804 1005 1020 1039 1139 1340 1608 2010 2040 2078 2278 2680 3117 3417 4020 4156 4556 5195 5695 6234 6834 8040 8312 9112 10390 11390 12468 13668 15585 17085 17663 20780 22780 24936 27336 31170 34170 35326 41560 45560 52989 62340 68340 69613 70652 88315 105978 124680 136680 139226 141304 176630 208839 211956 264945 278452 348065 353260 417678 423912 529890 556904 696130 706520 835356 1044195 1059780 1183421 1392260 1670712 2088390 2119560 2366842 2784520 3550263 4176780 4733684 5917105 7100526 8353560 9467368 11834210 14201052 17751315 23668420 28402104 35502630 47336840 71005260 142010520