Search a number
-
+
146116026 = 232710910639
BaseRepresentation
bin10001011010110…
…00110110111010
3101011221110111200
420231120312322
5244401203101
622255435030
73422652150
oct1055306672
9334843450
10146116026
117552a151
1240b25a76
132436c0b4
14155973d0
15cc63986
hex8b58dba

146116026 has 48 divisors (see below), whose sum is σ = 365164800. Its totient is φ = 41360544.

The previous prime is 146116001. The next prime is 146116027. The reversal of 146116026 is 620611641.

146116026 is a `hidden beast` number, since 1 + 46 + 11 + 602 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146116027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8415 + ... + 19053.

It is an arithmetic number, because the mean of its divisors is an integer number (7607600).

Almost surely, 2146116026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146116026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182582400).

146116026 is an abundant number, since it is smaller than the sum of its proper divisors (219048774).

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

146116026 is a wasteful number, since it uses less digits than its factorization.

146116026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 146116026 is about 12087.8462101402. The cubic root of 146116026 is about 526.7031923786.

Adding to 146116026 its reverse (620611641), we get a palindrome (766727667).

The spelling of 146116026 in words is "one hundred forty-six million, one hundred sixteen thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 6867 10639 13734 21278 31917 63834 74473 95751 148946 191502 223419 446838 670257 1159651 1340514 2319302 3478953 6957906 8117557 10436859 16235114 20873718 24352671 48705342 73058013 146116026