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142063200 = 2533526577
BaseRepresentation
bin10000111011110…
…11011001100000
3100220022120002000
420131323121200
5242332010300
622032524000
73343342266
oct1035733140
9326276060
10142063200
1173211204
123b6b0600
1323580486
1414c20436
15c712c00
hex877b660

142063200 has 144 divisors (see below), whose sum is σ = 513873360. Its totient is φ = 37877760.

The previous prime is 142063153. The next prime is 142063211. The reversal of 142063200 is 2360241.

It is a happy number.

142063200 is a `hidden beast` number, since 14 + 20 + 632 + 0 + 0 = 666.

142063200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18312 + ... + 24888.

It is an arithmetic number, because the mean of its divisors is an integer number (3568565).

Almost surely, 2142063200 is an apocalyptic number.

142063200 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 142063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256936680).

142063200 is an abundant number, since it is smaller than the sum of its proper divisors (371810160).

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

142063200 is a wasteful number, since it uses less digits than its factorization.

142063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 142063200 is about 11919.0268059100. The cubic root of 142063200 is about 521.7877324289.

It can be divided in two parts, 1420 and 63200, that added together give a triangular number (64620 = T359).

The spelling of 142063200 in words is "one hundred forty-two million, sixty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 6577 7200 10800 13154 19731 21600 26308 32885 39462 52616 59193 65770 78924 98655 105232 118386 131540 157848 164425 177579 197310 210464 236772 263080 295965 315696 328850 355158 394620 473544 493275 526160 591930 631392 657700 710316 789240 887895 947088 986550 1052320 1183860 1315400 1420632 1479825 1578480 1775790 1894176 1973100 2367720 2630800 2841264 2959650 3156960 3551580 3946200 4439475 4735440 5261600 5682528 5919300 7103160 7892400 8878950 9470880 11838600 14206320 15784800 17757900 23677200 28412640 35515800 47354400 71031600 142063200