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146106200 = 23521938449
BaseRepresentation
bin10001011010101…
…10011101011000
3101011220222000202
420231112131120
5244400344300
622255321332
73422611412
oct1055263530
9334828022
10146106200
1175522829
1240b20248
1324367796
14155939b2
15cc60ad5
hex8b56758

146106200 has 48 divisors (see below), whose sum is σ = 357585000. Its totient is φ = 55365120.

The previous prime is 146106173. The next prime is 146106269. The reversal of 146106200 is 2601641.

It is a happy number.

146106200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15425 + ... + 23024.

Almost surely, 2146106200 is an apocalyptic number.

146106200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146106200 is an abundant number, since it is smaller than the sum of its proper divisors (211478800).

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

146106200 is a wasteful number, since it uses less digits than its factorization.

146106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38484 (or 38475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 146106200 is about 12087.4397620009. The cubic root of 146106200 is about 526.6913855478.

Adding to 146106200 its reverse (2601641), we get a palindrome (148707841).

The spelling of 146106200 in words is "one hundred forty-six million, one hundred six thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 38449 76898 153796 192245 307592 384490 730531 768980 961225 1461062 1537960 1922450 2922124 3652655 3844900 5844248 7305310 7689800 14610620 18263275 29221240 36526550 73053100 146106200