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143112420 = 22355112677
BaseRepresentation
bin10001000011110…
…11100011100100
3100222021212100000
420201323203210
5243114044140
622111221300
73355302243
oct1041734344
9328255300
10143112420
1173868530
123bb17830
1323859c09
141501495a
15c86da30
hex887b8e4

143112420 has 144 divisors (see below), whose sum is σ = 491295168. Its totient is φ = 34680960.

The previous prime is 143112407. The next prime is 143112421. The reversal of 143112420 is 24211341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 143112393 and 143112402.

It is not an unprimeable number, because it can be changed into a prime (143112421) 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 47 ways as a sum of consecutive naturals, for example, 52122 + ... + 54798.

It is an arithmetic number, because the mean of its divisors is an integer number (3411772).

Almost surely, 2143112420 is an apocalyptic number.

143112420 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 143112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245647584).

143112420 is an abundant number, since it is smaller than the sum of its proper divisors (348182748).

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

143112420 is a wasteful number, since it uses less digits than its factorization.

143112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 143112420 is about 11962.9603359704. The cubic root of 143112420 is about 523.0691523222.

Adding to 143112420 its reverse (24211341), we get a palindrome (167323761).

The spelling of 143112420 in words is "one hundred forty-three million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2677 2970 3564 4455 4860 5346 5354 5940 8031 8910 10692 10708 13365 13385 16062 17820 24093 26730 26770 29447 32124 40155 48186 53460 53540 58894 72279 80310 88341 96372 117788 120465 144558 147235 160620 176682 216837 240930 265023 289116 294470 353364 361395 433674 441705 481860 530046 588940 650511 722790 795069 867348 883410 1060092 1084185 1301022 1325115 1445580 1590138 1766820 2168370 2385207 2602044 2650230 3180276 3252555 3975345 4336740 4770414 5300460 6505110 7155621 7950690 9540828 11926035 13010220 14311242 15901380 23852070 28622484 35778105 47704140 71556210 143112420