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146130380 = 225116110889
BaseRepresentation
bin10001011010111…
…00010111001100
3101011222012012022
420231130113030
5244402133010
622300025312
73423042044
oct1055342714
9334865168
10146130380
1175539a10
1240b32238
13243757a6
141559c724
15cc67d55
hex8b5c5cc

146130380 has 48 divisors (see below), whose sum is σ = 340290720. Its totient is φ = 52262400.

The previous prime is 146130359. The next prime is 146130389. The reversal of 146130380 is 83031641.

146130380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146130389) 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, 7976 + ... + 18864.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2146130380 is an apocalyptic number.

146130380 is a gapful number since it is divisible by the number (10) 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 146130380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

146130380 is an abundant number, since it is smaller than the sum of its proper divisors (194160340).

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

146130380 is a wasteful number, since it uses less digits than its factorization.

146130380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10970 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 146130380 is about 12088.4399324313. The cubic root of 146130380 is about 526.7204390609.

The spelling of 146130380 in words is "one hundred forty-six million, one hundred thirty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 10889 13420 21778 43556 54445 108890 119779 217780 239558 479116 598895 664229 1197790 1328458 2395580 2656916 3321145 6642290 7306519 13284580 14613038 29226076 36532595 73065190 146130380