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142102188 = 22342319069
BaseRepresentation
bin10000111100001…
…00111010101100
3100220101112120000
420132010322230
5242334232223
622033424300
73343564044
oct1036047254
9326345500
10142102188
1173238528
123b70b090
1323595147
1414c30724
15c71e543
hex8784eac

142102188 has 60 divisors (see below), whose sum is σ = 387654960. Its totient is φ = 45305568.

The previous prime is 142102157. The next prime is 142102231. The reversal of 142102188 is 881201241.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2083 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (6460916).

Almost surely, 2142102188 is an apocalyptic number.

142102188 is a gapful number since it is divisible by the number (18) 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 142102188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193827480).

142102188 is an abundant number, since it is smaller than the sum of its proper divisors (245552772).

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

142102188 is a wasteful number, since it uses less digits than its factorization.

142102188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19108 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 142102188 is about 11920.6622299267. The cubic root of 142102188 is about 521.8354614194.

The spelling of 142102188 in words is "one hundred forty-two million, one hundred two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 19069 38138 57207 76276 114414 171621 228828 343242 438587 514863 686484 877174 1029726 1315761 1544589 1754348 2059452 2631522 3089178 3947283 5263044 6178356 7894566 11841849 15789132 23683698 35525547 47367396 71051094 142102188