Search a number
-
+
146801540 = 22573100549
BaseRepresentation
bin10001100000000…
…00001110000100
3101020020021212002
420300000032010
5300040122130
622322244432
73431535554
oct1060001604
9336207762
10146801540
1175958196
12411b6718
132454c122
14156d5164
15cd4bb45
hex8c00384

146801540 has 24 divisors (see below), whose sum is σ = 312509400. Its totient is φ = 57915648.

The previous prime is 146801537. The next prime is 146801561. The reversal of 146801540 is 45108641.

It can be written as a sum of positive squares in 4 ways, for example, as 10705984 + 136095556 = 3272^2 + 11666^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48815 + ... + 51734.

It is an arithmetic number, because the mean of its divisors is an integer number (13021225).

Almost surely, 2146801540 is an apocalyptic number.

146801540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146801540 is an abundant number, since it is smaller than the sum of its proper divisors (165707860).

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

146801540 is a wasteful number, since it uses less digits than its factorization.

146801540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100631 (or 100629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 146801540 is about 12116.1685362989. The cubic root of 146801540 is about 527.5255964160.

The spelling of 146801540 in words is "one hundred forty-six million, eight hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 100549 201098 402196 502745 1005490 2010980 7340077 14680154 29360308 36700385 73400770 146801540