Search a number
-
+
146310136 = 23737241293
BaseRepresentation
bin10001011100010…
…00001111111000
3101012022022202221
420232020033320
5244423411021
622303533424
73424421110
oct1056101770
9335268687
10146310136
1175651a75
1240bba274
132440955b
1415608040
15cca1241
hex8b883f8

146310136 has 64 divisors (see below), whose sum is σ = 324434880. Its totient is φ = 60549120.

The previous prime is 146310119. The next prime is 146310137. The reversal of 146310136 is 631013641.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 146310136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146310137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499206 + ... + 499498.

It is an arithmetic number, because the mean of its divisors is an integer number (5069295).

Almost surely, 2146310136 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 146310136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162217440).

146310136 is an abundant number, since it is smaller than the sum of its proper divisors (178124744).

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

146310136 is a wasteful number, since it uses less digits than its factorization.

146310136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 146310136 is about 12095.8726845152. The cubic root of 146310136 is about 526.9363247267.

Adding to 146310136 its reverse (631013641), we get a palindrome (777323777).

The spelling of 146310136 in words is "one hundred forty-six million, three hundred ten thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 241 259 293 296 482 518 586 964 1036 1172 1687 1928 2051 2072 2344 3374 4102 6748 8204 8917 10841 13496 16408 17834 21682 35668 43364 62419 70613 71336 75887 86728 124838 141226 151774 249676 282452 303548 494291 499352 564904 607096 988582 1977164 2612681 3954328 5225362 10450724 18288767 20901448 36577534 73155068 146310136