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146400912 = 2433748413
BaseRepresentation
bin10001011100111…
…10011010010000
3101012110221022000
420232132122100
5244434312122
622305514000
73425246550
oct1056363220
9335427260
10146400912
1175704199
1241042900
132443b978
141562d160
15ccbd0ac
hex8b9e690

146400912 has 80 divisors (see below), whose sum is σ = 480266880. Its totient is φ = 41827968.

The previous prime is 146400907. The next prime is 146400937. The reversal of 146400912 is 219004641.

146400912 is a `hidden beast` number, since 1 + 4 + 640 + 0 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 21183 + ... + 27230.

It is an arithmetic number, because the mean of its divisors is an integer number (6003336).

Almost surely, 2146400912 is an apocalyptic number.

146400912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146400912 is an abundant number, since it is smaller than the sum of its proper divisors (333865968).

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

146400912 is a wasteful number, since it uses less digits than its factorization.

146400912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48437 (or 48425 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 146400912 is about 12099.6244569821. The cubic root of 146400912 is about 527.0452788613.

The spelling of 146400912 in words is "one hundred forty-six million, four hundred thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 48413 96826 145239 193652 290478 338891 387304 435717 580956 677782 774608 871434 1016673 1161912 1307151 1355564 1742868 2033346 2323824 2614302 2711128 3050019 3485736 4066692 5228604 5422256 6100038 6971472 8133384 9150057 10457208 12200076 16266768 18300114 20914416 24400152 36600228 48800304 73200456 146400912