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145930000 = 245414593
BaseRepresentation
bin10001011001010…
…11011100010000
3101011121000022211
420230223130100
5244324230000
622251441504
73421245616
oct1054533420
9334530284
10145930000
1175412407
1240a56294
1324305518
14155496b6
15cc287ba
hex8b2b710

145930000 has 50 divisors (see below), whose sum is σ = 353335334. Its totient is φ = 58368000.

The previous prime is 145929991. The next prime is 145930027. The reversal of 145930000 is 39541.

It can be written as a sum of positive squares in 5 ways, for example, as 92698384 + 53231616 = 9628^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2704 + ... + 17296.

Almost surely, 2145930000 is an apocalyptic number.

145930000 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 145930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176667667).

145930000 is an abundant number, since it is smaller than the sum of its proper divisors (207405334).

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

145930000 is an equidigital number, since it uses as much as digits as its factorization.

145930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14621 (or 14600 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 145930000 is about 12080.1490057035. The cubic root of 145930000 is about 526.4795753415.

Adding to 145930000 its reverse (39541), we get a palindrome (145969541).

The spelling of 145930000 in words is "one hundred forty-five million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 14593 29186 58372 72965 116744 145930 233488 291860 364825 583720 729650 1167440 1459300 1824125 2918600 3648250 5837200 7296500 9120625 14593000 18241250 29186000 36482500 72965000 145930000