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142912 = 2671129
BaseRepresentation
bin100010111001000000
321021001001
4202321000
514033122
63021344
71133440
oct427100
9237031
10142912
1198410
126a854
1350083
143a120
152c527
hex22e40

142912 has 56 divisors (see below), whose sum is σ = 365760. Its totient is φ = 53760.

The previous prime is 142907. The next prime is 142939. The reversal of 142912 is 219241.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 142912.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4914 + ... + 4942.

2142912 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 142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880).

142912 is an abundant number, since it is smaller than the sum of its proper divisors (222848).

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

142912 is a wasteful number, since it uses less digits than its factorization.

142912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 49 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 142912 is about 378.0370352227. The cubic root of 142912 is about 52.2824863030.

It can be divided in two parts, 14291 and 2, that multiplied together give a palindrome (28582).

The spelling of 142912 in words is "one hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 928 1232 1276 1624 1856 2233 2464 2552 3248 4466 4928 5104 6496 8932 10208 12992 17864 20416 35728 71456 142912