Search a number
-
+
142856896 = 26713191291
BaseRepresentation
bin10001000001111…
…01001011000000
3100221210212211011
420200331023000
5243032410041
622101530304
73353156260
oct1040751300
9327725734
10142856896
1173703556
123ba13994
132379a810
1414d897a0
15c81ce81
hex883d2c0

142856896 has 112 divisors (see below), whose sum is σ = 367548160. Its totient is φ = 53498880.

The previous prime is 142856893. The next prime is 142856911. The reversal of 142856896 is 698658241.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (142856891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110011 + ... + 111301.

It is an arithmetic number, because the mean of its divisors is an integer number (3281680).

Almost surely, 2142856896 is an apocalyptic number.

142856896 is a gapful number since it is divisible by the number (16) 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 142856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183774080).

142856896 is an abundant number, since it is smaller than the sum of its proper divisors (224691264).

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

142856896 is a wasteful number, since it uses less digits than its factorization.

142856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1332 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The square root of 142856896 is about 11952.2757665643. The cubic root of 142856896 is about 522.7576574660.

The spelling of 142856896 in words is "one hundred forty-two million, eight hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 988 1064 1216 1291 1456 1729 1976 2128 2582 2912 3458 3952 4256 5164 5824 6916 7904 8512 9037 10328 13832 15808 16783 18074 20656 24529 27664 33566 36148 41312 49058 55328 67132 72296 82624 98116 110656 117481 134264 144592 171703 196232 234962 268528 289184 318877 343406 392464 469924 537056 578368 637754 686812 784928 939848 1074112 1275508 1373624 1569856 1879696 2232139 2551016 2747248 3759392 4464278 5102032 5494496 7518784 8928556 10204064 10988992 17857112 20408128 35714224 71428448 142856896