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142115400 = 233252711279
BaseRepresentation
bin10000111100010…
…00001001001000
3100220102012200100
420132020021020
5242340143100
622034005400
73343650420
oct1036101110
9326365610
10142115400
1173247449
123b716860
132359b16b
1414c35480
15c723400
hex8788248

142115400 has 144 divisors (see below), whose sum is σ = 545500800. Its totient is φ = 32480640.

The previous prime is 142115353. The next prime is 142115401. The reversal of 142115400 is 4511241.

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

It is not an unprimeable number, because it can be changed into a prime (142115401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6961 + ... + 18239.

It is an arithmetic number, because the mean of its divisors is an integer number (3788200).

Almost surely, 2142115400 is an apocalyptic number.

142115400 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 142115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272750400).

142115400 is an abundant number, since it is smaller than the sum of its proper divisors (403385400).

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

142115400 is a wasteful number, since it uses less digits than its factorization.

142115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142115400 is about 11921.2163808900. The cubic root of 142115400 is about 521.8516335290.

Adding to 142115400 its reverse (4511241), we get a palindrome (146626641).

The spelling of 142115400 in words is "one hundred forty-two million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 11279 12600 22558 33837 45116 56395 67674 78953 90232 101511 112790 135348 157906 169185 203022 225580 236859 270696 281975 315812 338370 394765 406044 451160 473718 507555 563950 631624 676740 710577 789530 812088 845925 947436 1015110 1127900 1184295 1353480 1421154 1579060 1691850 1894872 1973825 2030220 2255800 2368590 2537775 2842308 3158120 3383700 3552885 3947650 4060440 4737180 5075550 5684616 5921475 6767400 7105770 7895300 9474360 10151100 11842950 14211540 15790600 17764425 20302200 23685900 28423080 35528850 47371800 71057700 142115400