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142121160 = 233252111871
BaseRepresentation
bin10000111100010…
…01100011001000
3100220102111120200
420132021203020
5242340334120
622034052200
73344003256
oct1036114310
9326374520
10142121160
1173250805
123b71a060
13235a097c
1414c375d6
15c724e90
hex87898c8

142121160 has 96 divisors (see below), whose sum is σ = 464330880. Its totient is φ = 37699200.

The previous prime is 142121153. The next prime is 142121171. The reversal of 142121160 is 61121241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75025 + ... + 76895.

It is an arithmetic number, because the mean of its divisors is an integer number (4836780).

Almost surely, 2142121160 is an apocalyptic number.

142121160 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 142121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232165440).

142121160 is an abundant number, since it is smaller than the sum of its proper divisors (322209720).

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

142121160 is a wasteful number, since it uses less digits than its factorization.

142121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 142121160 is about 11921.4579645277. The cubic root of 142121160 is about 521.8586837262.

The spelling of 142121160 in words is "one hundred forty-two million, one hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 360 422 633 844 1055 1266 1688 1871 1899 2110 2532 3165 3742 3798 4220 5064 5613 6330 7484 7596 8440 9355 9495 11226 12660 14968 15192 16839 18710 18990 22452 25320 28065 33678 37420 37980 44904 56130 67356 74840 75960 84195 112260 134712 168390 224520 336780 394781 673560 789562 1184343 1579124 1973905 2368686 3158248 3553029 3947810 4737372 5921715 7106058 7895620 9474744 11843430 14212116 15791240 17765145 23686860 28424232 35530290 47373720 71060580 142121160