Search a number
-
+
146125056 = 2837211353
BaseRepresentation
bin10001011010110…
…11000100000000
3101011221220220010
420231123010000
5244402000211
622255544520
73423020400
oct1055330400
9334856803
10146125056
1175535a10
1240b2b140
132437323c
141559a800
15cc664a6
hex8b5b100

146125056 has 216 divisors, whose sum is σ = 494925984. Its totient is φ = 37847040.

The previous prime is 146125043. The next prime is 146125061. The reversal of 146125056 is 650521641.

146125056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413776 + ... + 414128.

It is an arithmetic number, because the mean of its divisors is an integer number (2291324).

Almost surely, 2146125056 is an apocalyptic number.

146125056 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 146125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247462992).

146125056 is an abundant number, since it is smaller than the sum of its proper divisors (348800928).

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

146125056 is a wasteful number, since it uses less digits than its factorization.

146125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 146125056 is about 12088.2197200415. The cubic root of 146125056 is about 526.7140422764.

Adding to 146125056 its reverse (650521641), we get a palindrome (796646697).

The spelling of 146125056 in words is "one hundred forty-six million, one hundred twenty-five thousand, fifty-six".