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146392980 = 22355714273
BaseRepresentation
bin10001011100111…
…00011110010100
3101012110112102020
420232130132110
5244434033410
622305413140
73425214456
oct1056343624
9335415366
10146392980
11756a9238
124103a1b0
1324438186
141562a2d6
15ccbaa70
hex8b9c794

146392980 has 48 divisors (see below), whose sum is σ = 410714304. Its totient is φ = 38960640.

The previous prime is 146392963. The next prime is 146392991. The reversal of 146392980 is 89293641.

146392980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32124 + ... + 36396.

It is an arithmetic number, because the mean of its divisors is an integer number (8556548).

Almost surely, 2146392980 is an apocalyptic number.

146392980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146392980 is an abundant number, since it is smaller than the sum of its proper divisors (264321324).

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

146392980 is a wasteful number, since it uses less digits than its factorization.

146392980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 146392980 is about 12099.2966737741. The cubic root of 146392980 is about 527.0357602533.

The spelling of 146392980 in words is "one hundred forty-six million, three hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 571 1142 1713 2284 2855 3426 4273 5710 6852 8546 8565 11420 12819 17092 17130 21365 25638 34260 42730 51276 64095 85460 128190 256380 2439883 4879766 7319649 9759532 12199415 14639298 24398830 29278596 36598245 48797660 73196490 146392980