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146103312 = 24319160201
BaseRepresentation
bin10001011010101…
…01110000010000
3101011220211001210
420231111300100
5244400301222
622255300120
73422600115
oct1055256020
9334824053
10146103312
1175520643
1240b1a640
1324366384
141559290c
15cc5ed0c
hex8b55c10

146103312 has 40 divisors (see below), whose sum is σ = 397300960. Its totient is φ = 46137600.

The previous prime is 146103301. The next prime is 146103313. The reversal of 146103312 is 213301641.

It is not an unprimeable number, because it can be changed into a prime (146103313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 79189 + ... + 81012.

It is an arithmetic number, because the mean of its divisors is an integer number (9932524).

Almost surely, 2146103312 is an apocalyptic number.

146103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146103312 is an abundant number, since it is smaller than the sum of its proper divisors (251197648).

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

146103312 is a wasteful number, since it uses less digits than its factorization.

146103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160231 (or 160225 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 146103312 is about 12087.3202985608. The cubic root of 146103312 is about 526.6879152530.

Adding to 146103312 its reverse (213301641), we get a palindrome (359404953).

The spelling of 146103312 in words is "one hundred forty-six million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 160201 320402 480603 640804 961206 1281608 1922412 2563216 3043819 3844824 6087638 7689648 9131457 12175276 18262914 24350552 36525828 48701104 73051656 146103312