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142687440 = 2433579437
BaseRepresentation
bin10001000000100…
…11110011010000
3100221111021101000
420200103303100
5243011444230
622054142000
73351552240
oct1040236320
9327437330
10142687440
11735a8205
123b951900
132373b64c
1414d43b20
15c7d7b60
hex8813cd0

142687440 has 160 divisors (see below), whose sum is σ = 561749760. Its totient is φ = 32610816.

The previous prime is 142687417. The next prime is 142687481. The reversal of 142687440 is 44786241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142687395 and 142687404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10402 + ... + 19838.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2142687440 is an apocalyptic number.

142687440 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 142687440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280874880).

142687440 is an abundant number, since it is smaller than the sum of its proper divisors (419062320).

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

142687440 is a wasteful number, since it uses less digits than its factorization.

142687440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9466 (or 9454 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 142687440 is about 11945.1848039283. The cubic root of 142687440 is about 522.5508783434.

The spelling of 142687440 in words is "one hundred forty-two million, six hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 9437 15120 18874 28311 37748 47185 56622 66059 75496 84933 94370 113244 132118 141555 150992 169866 188740 198177 226488 254799 264236 283110 330295 339732 377480 396354 424665 452976 509598 528472 566220 594531 660590 679464 754960 792708 849330 990885 1019196 1056944 1132440 1189062 1273995 1321180 1358928 1585416 1698660 1783593 1981770 2038392 2264880 2378124 2547990 2642360 2972655 3170832 3397320 3567186 3963540 4076784 4756248 5095980 5284720 5945310 6794640 7134372 7927080 8917965 9512496 10191960 11890620 14268744 15854160 17835930 20383920 23781240 28537488 35671860 47562480 71343720 142687440