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142633140 = 2235131071709
BaseRepresentation
bin10001000000001…
…10100010110100
3100221101111212220
420200012202310
5243003230030
622053042340
73351235026
oct1040064264
9327344786
10142633140
1173570431
123b9263b0
132371ca10
1414d2c016
15c7c6a10
hex88068b4

142633140 has 96 divisors (see below), whose sum is σ = 434367360. Its totient is φ = 34761216.

The previous prime is 142633079. The next prime is 142633147. The reversal of 142633140 is 41336241.

It is a self number, because there is not a number n which added to its sum of digits gives 142633140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142633147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82606 + ... + 84314.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2142633140 is an apocalyptic number.

142633140 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 142633140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

142633140 is an abundant number, since it is smaller than the sum of its proper divisors (291734220).

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

142633140 is a wasteful number, since it uses less digits than its factorization.

142633140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 142633140 is about 11942.9117052752. The cubic root of 142633140 is about 522.4845839945.

Adding to 142633140 its reverse (41336241), we get a palindrome (183969381).

The spelling of 142633140 in words is "one hundred forty-two million, six hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 156 195 214 260 321 390 428 535 642 780 1070 1284 1391 1605 1709 2140 2782 3210 3418 4173 5127 5564 6420 6836 6955 8346 8545 10254 13910 16692 17090 20508 20865 22217 25635 27820 34180 41730 44434 51270 66651 83460 88868 102540 111085 133302 182863 222170 266604 333255 365726 444340 548589 666510 731452 914315 1097178 1333020 1828630 2194356 2377219 2742945 3657260 4754438 5485890 7131657 9508876 10971780 11886095 14263314 23772190 28526628 35658285 47544380 71316570 142633140