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142880 = 2551947
BaseRepresentation
bin100010111000100000
321020222212
4202320200
514033010
63021252
71133363
oct427040
9236885
10142880
1198391
126a828
135005a
143a0da
152c505
hex22e20

142880 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 52992.

The previous prime is 142873. The next prime is 142897. The reversal of 142880 is 88241.

142880 = T1 + T2 + ... + T94.

142880 is a nontrivial binomial coefficient, being equal to C(96, 3).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142880.

It is an unprimeable number.

142880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 94-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3017 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2142880 is an apocalyptic number.

142880 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 142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

142880 is an abundant number, since it is smaller than the sum of its proper divisors (220000).

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

142880 is a wasteful number, since it uses less digits than its factorization.

142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 142880 is about 377.9947089577. The cubic root of 142880 is about 52.2785837512.

The spelling of 142880 in words is "one hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 76 80 94 95 152 160 188 190 235 304 376 380 470 608 752 760 893 940 1504 1520 1786 1880 3040 3572 3760 4465 7144 7520 8930 14288 17860 28576 35720 71440 142880