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142367400 = 233252711299
BaseRepresentation
bin10000111110001…
…01101010101000
3100220220000100200
420133011222220
5242421224100
622043232200
73346050210
oct1037055250
9326800320
10142367400
11733a980a
123b818660
1323658a86
1414c9d240
15c772e00
hex87c5aa8

142367400 has 144 divisors (see below), whose sum is σ = 546468000. Its totient is φ = 32538240.

The previous prime is 142367359. The next prime is 142367419. The reversal of 142367400 is 4763241.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6951 + ... + 18249.

Almost surely, 2142367400 is an apocalyptic number.

142367400 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 142367400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273234000).

142367400 is an abundant number, since it is smaller than the sum of its proper divisors (404100600).

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

142367400 is a wasteful number, since it uses less digits than its factorization.

142367400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 142367400 is about 11931.7810908514. The cubic root of 142367400 is about 522.1599016891.

The spelling of 142367400 in words is "one hundred forty-two million, three hundred sixty-seven 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 11299 12600 22598 33897 45196 56495 67794 79093 90392 101691 112990 135588 158186 169485 203382 225980 237279 271176 282475 316372 338970 395465 406764 451960 474558 508455 564950 632744 677940 711837 790930 813528 847425 949116 1016910 1129900 1186395 1355880 1423674 1581860 1694850 1898232 1977325 2033820 2259800 2372790 2542275 2847348 3163720 3389700 3559185 3954650 4067640 4745580 5084550 5694696 5931975 6779400 7118370 7909300 9491160 10169100 11863950 14236740 15818600 17795925 20338200 23727900 28473480 35591850 47455800 71183700 142367400