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142285680 = 24335193467
BaseRepresentation
bin10000111101100…
…01101101110000
3100220201212021000
420132301231300
5242411120210
622041402000
73345260025
oct1036615560
9326655230
10142285680
1173353379
123b799300
132362a814
1414c7b54c
15c758ac0
hex87b1b70

142285680 has 160 divisors (see below), whose sum is σ = 516038400. Its totient is φ = 35935488.

The previous prime is 142285651. The next prime is 142285681. The reversal of 142285680 is 86582241.

142285680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142285681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39307 + ... + 42773.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 2142285680 is an apocalyptic number.

142285680 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 142285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258019200).

142285680 is an abundant number, since it is smaller than the sum of its proper divisors (373752720).

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

142285680 is a wasteful number, since it uses less digits than its factorization.

142285680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 142285680 is about 11928.3561315045. The cubic root of 142285680 is about 522.0599746125.

The spelling of 142285680 in words is "one hundred forty-two million, two hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 3467 4104 4560 5130 6840 6934 8208 10260 10401 13680 13868 17335 20520 20802 27736 31203 34670 41040 41604 52005 55472 62406 65873 69340 83208 93609 104010 124812 131746 138680 156015 166416 187218 197619 208020 249624 263492 277360 312030 329365 374436 395238 416040 468045 499248 526984 592857 624060 658730 748872 790476 832080 936090 988095 1053968 1185714 1248120 1317460 1497744 1580952 1778571 1872180 1976190 2371428 2496240 2634920 2964285 3161904 3557142 3744360 3952380 4742856 5269840 5928570 7114284 7488720 7904760 8892855 9485712 11857140 14228568 15809520 17785710 23714280 28457136 35571420 47428560 71142840 142285680