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146385580 = 225114116229
BaseRepresentation
bin10001011100110…
…10101010101100
3101012110011021011
420232122222230
5244433314310
622305315004
73425154055
oct1056325254
9335404234
10146385580
11756a3720
1241035a64
13244349b3
141562772c
15ccb878a
hex8b9aaac

146385580 has 48 divisors (see below), whose sum is σ = 343556640. Its totient is φ = 51929600.

The previous prime is 146385571. The next prime is 146385581. The reversal of 146385580 is 85583641.

146385580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146385581) 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, 906 + ... + 17134.

It is an arithmetic number, because the mean of its divisors is an integer number (7157430).

Almost surely, 2146385580 is an apocalyptic number.

146385580 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 146385580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171778320).

146385580 is an abundant number, since it is smaller than the sum of its proper divisors (197171060).

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

146385580 is a wasteful number, since it uses less digits than its factorization.

146385580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16290 (or 16288 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 146385580 is about 12098.9908670104. The cubic root of 146385580 is about 527.0268797493.

The spelling of 146385580 in words is "one hundred forty-six million, three hundred eighty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 16229 32458 64916 81145 162290 178519 324580 357038 665389 714076 892595 1330778 1785190 2661556 3326945 3570380 6653890 7319279 13307780 14638558 29277116 36596395 73192790 146385580