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142129176 = 23373972131
BaseRepresentation
bin10000111100010…
…11100000011000
3100220102220120120
420132023200120
5242341113201
622034153240
73344035530
oct1036134030
9326386516
10142129176
1173256832
123b722820
13235a4507
1414c3a4c0
15c727536
hex878b818

142129176 has 64 divisors (see below), whose sum is σ = 407297280. Its totient is φ = 40487040.

The previous prime is 142129159. The next prime is 142129187. The reversal of 142129176 is 671921241.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 65631 + ... + 67761.

It is an arithmetic number, because the mean of its divisors is an integer number (6364020).

Almost surely, 2142129176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142129176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203648640).

142129176 is an abundant number, since it is smaller than the sum of its proper divisors (265168104).

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

142129176 is a wasteful number, since it uses less digits than its factorization.

142129176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2540 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 142129176 is about 11921.7941602764. The cubic root of 142129176 is about 521.8684949337.

The spelling of 142129176 in words is "one hundred forty-two million, one hundred twenty-nine thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 1191 1588 2131 2382 2779 3176 4262 4764 5558 6393 8337 8524 9528 11116 12786 14917 16674 17048 22232 25572 29834 33348 44751 51144 59668 66696 89502 119336 179004 358008 846007 1692014 2538021 3384028 5076042 5922049 6768056 10152084 11844098 17766147 20304168 23688196 35532294 47376392 71064588 142129176