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146293830 = 2335678087
BaseRepresentation
bin10001011100001…
…00010001000110
3101012021111102000
420232010101012
5244422400310
622303330130
73424322424
oct1056042106
9335244360
10146293830
11756407a1
1240bb0946
1324401cc7
1415602114
15cc9b4c0
hex8b84446

146293830 has 64 divisors (see below), whose sum is σ = 395988480. Its totient is φ = 38424672.

The previous prime is 146293811. The next prime is 146293831. The reversal of 146293830 is 38392641.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146293831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14047 + ... + 22133.

It is an arithmetic number, because the mean of its divisors is an integer number (6187320).

Almost surely, 2146293830 is an apocalyptic number.

146293830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146293830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197994240).

146293830 is an abundant number, since it is smaller than the sum of its proper divisors (249694650).

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

146293830 is a wasteful number, since it uses less digits than its factorization.

146293830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 146293830 is about 12095.1986341688. The cubic root of 146293830 is about 526.9167486327.

The spelling of 146293830 in words is "one hundred forty-six million, two hundred ninety-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 3015 3618 6030 8087 9045 16174 18090 24261 40435 48522 72783 80870 121305 145566 218349 242610 363915 436698 541829 727830 1083658 1091745 1625487 2183490 2709145 3250974 4876461 5418290 8127435 9752922 14629383 16254870 24382305 29258766 48764610 73146915 146293830