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142024320 = 273358219
BaseRepresentation
bin10000111011100…
…01111010000000
3100220020120202000
420131301322000
5242324234240
622032024000
73343121034
oct1035617200
9326216660
10142024320
1173194a79
123b692000
1323568879
1414c101c4
15c706430
hex8771e80

142024320 has 128 divisors (see below), whose sum is σ = 503064000. Its totient is φ = 37868544.

The previous prime is 142024301. The next prime is 142024357. The reversal of 142024320 is 23420241.

142024320 is a `hidden beast` number, since 1 + 420 + 243 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 142024293 and 142024302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13171 + ... + 21389.

Almost surely, 2142024320 is an apocalyptic number.

142024320 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 142024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251532000).

142024320 is an abundant number, since it is smaller than the sum of its proper divisors (361039680).

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

142024320 is an equidigital number, since it uses as much as digits as its factorization.

142024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8247 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142024320 is about 11917.3956886561. The cubic root of 142024320 is about 521.7401269546.

Adding to 142024320 its reverse (23420241), we get a palindrome (165444561).

The spelling of 142024320 in words is "one hundred forty-two million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8219 8640 16438 17280 24657 32876 41095 49314 65752 73971 82190 98628 123285 131504 147942 164380 197256 221913 246570 263008 295884 328760 369855 394512 443826 493140 526016 591768 657520 739710 789024 887652 986280 1052032 1109565 1183536 1315040 1479420 1578048 1775304 1972560 2219130 2367072 2630080 2958840 3156096 3550608 3945120 4438260 4734144 5260160 5917680 7101216 7890240 8876520 9468288 11835360 14202432 15780480 17753040 23670720 28404864 35506080 47341440 71012160 142024320