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146100996 = 2234450929
BaseRepresentation
bin10001011010101…
…01001100000100
3101011220200220000
420231111030010
5244400212441
622255241300
73422560266
oct1055251404
9334820800
10146100996
1175519928
1240b19230
13243652c2
1415591b36
15cc5e2b6
hex8b55304

146100996 has 30 divisors (see below), whose sum is σ = 381937710. Its totient is φ = 48700224.

The previous prime is 146100989. The next prime is 146101001. The reversal of 146100996 is 699001641.

It can be written as a sum of positive squares in only one way, i.e., 139004100 + 7096896 = 11790^2 + 2664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146100996.

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 9 ways as a sum of consecutive naturals, for example, 225141 + ... + 225788.

It is an arithmetic number, because the mean of its divisors is an integer number (12731257).

Almost surely, 2146100996 is an apocalyptic number.

It is an amenable number.

146100996 is an abundant number, since it is smaller than the sum of its proper divisors (235836714).

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

146100996 is a wasteful number, since it uses less digits than its factorization.

146100996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450945 (or 450934 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 146100996 is about 12087.2244953091. The cubic root of 146100996 is about 526.6851322551.

The spelling of 146100996 in words is "one hundred forty-six million, one hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 450929 901858 1352787 1803716 2705574 4058361 5411148 8116722 12175083 16233444 24350166 36525249 48700332 73050498 146100996