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146094984 = 23327289871
BaseRepresentation
bin10001011010100…
…11101110001000
3101011220101122100
420231103232020
5244400014414
622255153400
73422533620
oct1055235610
9334811570
10146094984
1175515362
1240b15860
1324362649
141558d880
15cc5c609
hex8b53b88

146094984 has 48 divisors (see below), whose sum is σ = 452200320. Its totient is φ = 41741280.

The previous prime is 146094979. The next prime is 146095007. The reversal of 146094984 is 489490641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144432 + ... + 145439.

It is an arithmetic number, because the mean of its divisors is an integer number (9420840).

Almost surely, 2146094984 is an apocalyptic number.

146094984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146094984 is an abundant number, since it is smaller than the sum of its proper divisors (306105336).

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

146094984 is a wasteful number, since it uses less digits than its factorization.

146094984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289890 (or 289883 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 146094984 is about 12086.9758004225. The cubic root of 146094984 is about 526.6779078588.

The spelling of 146094984 in words is "one hundred forty-six million, ninety-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 289871 579742 869613 1159484 1739226 2029097 2318968 2608839 3478452 4058194 5217678 6087291 6956904 8116388 10435356 12174582 16232776 18261873 20870712 24349164 36523746 48698328 73047492 146094984