Search a number
-
+
142642728 = 23331934757
BaseRepresentation
bin10001000000010…
…00111000101000
3100221102000001000
420200020320220
5243004031403
622053155000
73351305004
oct1040107050
9327360030
10142642728
1173577658
123b92ba60
13237241a7
1414d31704
15c7c97a3
hex8808e28

142642728 has 64 divisors (see below), whose sum is σ = 417096000. Its totient is φ = 45043776.

The previous prime is 142642727. The next prime is 142642729. The reversal of 142642728 is 827246241.

142642728 is a `hidden beast` number, since 1 + 4 + 2 + 642 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (142642727) and next prime (142642729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142642692 and 142642701.

It is not an unprimeable number, because it can be changed into a prime (142642727) 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, 13275 + ... + 21482.

It is an arithmetic number, because the mean of its divisors is an integer number (6517125).

Almost surely, 2142642728 is an apocalyptic number.

142642728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142642728 is an abundant number, since it is smaller than the sum of its proper divisors (274453272).

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

142642728 is a wasteful number, since it uses less digits than its factorization.

142642728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34791 (or 34781 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 142642728 is about 11943.3131081790. The cubic root of 142642728 is about 522.4962911147.

Adding to 142642728 its reverse (827246241), we get a palindrome (969888969).

The spelling of 142642728 in words is "one hundred forty-two million, six hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 34757 69514 104271 139028 208542 278056 312813 417084 625626 660383 834168 938439 1251252 1320766 1876878 1981149 2502504 2641532 3753756 3962298 5283064 5943447 7507512 7924596 11886894 15849192 17830341 23773788 35660682 47547576 71321364 142642728