Search a number
-
+
146363460 = 223519128389
BaseRepresentation
bin10001011100101…
…01010001000100
3101012102000220220
420232111101010
5244432112320
622305024340
73425032425
oct1056252104
9335360826
10146363460
1175689041
12410250b0
13244278c9
141561d64c
15ccb1e40
hex8b95444

146363460 has 48 divisors (see below), whose sum is σ = 431390400. Its totient is φ = 36975744.

The previous prime is 146363449. The next prime is 146363501. The reversal of 146363460 is 64363641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63055 + ... + 65334.

It is an arithmetic number, because the mean of its divisors is an integer number (8987300).

Almost surely, 2146363460 is an apocalyptic number.

146363460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146363460 is an abundant number, since it is smaller than the sum of its proper divisors (285026940).

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

146363460 is a wasteful number, since it uses less digits than its factorization.

146363460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128420 (or 128418 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 146363460 is about 12098.0767066505. The cubic root of 146363460 is about 527.0003324582. Note that the first 3 decimals are identical.

The spelling of 146363460 in words is "one hundred forty-six million, three hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 128389 256778 385167 513556 641945 770334 1283890 1540668 1925835 2439391 2567780 3851670 4878782 7318173 7703340 9757564 12196955 14636346 24393910 29272692 36590865 48787820 73181730 146363460