Search a number
-
+
146199120 = 2435609163
BaseRepresentation
bin10001011011011…
…01001001010000
3101012002200111020
420231231021100
5244411332440
622301315440
73423446334
oct1055551120
9335080436
10146199120
1175586621
1240b65b80
132439ab72
14155b97c4
15cc7d3d0
hex8b6d250

146199120 has 40 divisors (see below), whose sum is σ = 453218016. Its totient is φ = 38986368.

The previous prime is 146199107. The next prime is 146199149. The reversal of 146199120 is 21991641.

It is a tau number, because it is divible by the number of its divisors (40).

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, 304342 + ... + 304821.

Almost surely, 2146199120 is an apocalyptic number.

146199120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146199120 is an abundant number, since it is smaller than the sum of its proper divisors (307018896).

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

146199120 is a wasteful number, since it uses less digits than its factorization.

146199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609179 (or 609173 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 146199120 is about 12091.2828103556. The cubic root of 146199120 is about 526.8030162025.

The spelling of 146199120 in words is "one hundred forty-six million, one hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 609163 1218326 1827489 2436652 3045815 3654978 4873304 6091630 7309956 9137445 9746608 12183260 14619912 18274890 24366520 29239824 36549780 48733040 73099560 146199120