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146315104 = 2513509691
BaseRepresentation
bin10001011100010…
…01011101100000
3101012022120120221
420232021131200
5244424040404
622304012424
73424441435
oct1056113540
9335276527
10146315104
1175655781
1241001114
132440b8b0
1415609b8c
15cca2954
hex8b89760

146315104 has 48 divisors (see below), whose sum is σ = 311275440. Its totient is φ = 67299840.

The previous prime is 146315093. The next prime is 146315119. The reversal of 146315104 is 401513641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211399 + ... + 212089.

It is an arithmetic number, because the mean of its divisors is an integer number (6484905).

Almost surely, 2146315104 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 146315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155637720).

146315104 is an abundant number, since it is smaller than the sum of its proper divisors (164960336).

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

146315104 is a wasteful number, since it uses less digits than its factorization.

146315104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 146315104 is about 12096.0780420763. The cubic root of 146315104 is about 526.9422887473.

Adding to 146315104 its reverse (401513641), we get a palindrome (547828745).

The spelling of 146315104 in words is "one hundred forty-six million, three hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 509 691 1018 1382 2036 2764 4072 5528 6617 8144 8983 11056 13234 16288 17966 22112 26468 35932 52936 71864 105872 143728 211744 287456 351719 703438 1406876 2813752 4572347 5627504 9144694 11255008 18289388 36578776 73157552 146315104