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146443000 = 23531113313
BaseRepresentation
bin10001011101010…
…00101011111000
3101012120002000211
420232220223320
5244442134000
622310440504
73425513344
oct1056505370
9335502024
10146443000
1175732880
1241063134
1324454b82
1415640624
15ccca7ba
hex8ba8af8

146443000 has 64 divisors (see below), whose sum is σ = 373857120. Its totient is φ = 53248000.

The previous prime is 146442983. The next prime is 146443007. The reversal of 146443000 is 344641.

It is a happy number.

146443000 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146443007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4344 + ... + 17656.

Almost surely, 2146443000 is an apocalyptic number.

146443000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186928560).

146443000 is an abundant number, since it is smaller than the sum of its proper divisors (227414120).

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

146443000 is a wasteful number, since it uses less digits than its factorization.

146443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13345 (or 13331 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 146443000 is about 12101.3635595333. The cubic root of 146443000 is about 527.0957798134.

Adding to 146443000 its reverse (344641), we get a palindrome (146787641).

The spelling of 146443000 in words is "one hundred forty-six million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 13313 26626 53252 66565 106504 133130 146443 266260 292886 332825 532520 585772 665650 732215 1171544 1331300 1464430 1664125 2662600 2928860 3328250 3661075 5857720 6656500 7322150 13313000 14644300 18305375 29288600 36610750 73221500 146443000