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146445540 = 223519128461
BaseRepresentation
bin10001011101010…
…01010011100100
3101012120012111220
420232221103210
5244442224130
622310500340
73425523633
oct1056512344
9335505456
10146445540
117573477a
12410646b0
1324456087
141564151a
15cccb410
hex8ba94e4

146445540 has 48 divisors (see below), whose sum is σ = 431632320. Its totient is φ = 36996480.

The previous prime is 146445499. The next prime is 146445569. The reversal of 146445540 is 45544641.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63091 + ... + 65370.

It is an arithmetic number, because the mean of its divisors is an integer number (8992340).

Almost surely, 2146445540 is an apocalyptic number.

146445540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146445540 is an abundant number, since it is smaller than the sum of its proper divisors (285186780).

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

146445540 is a wasteful number, since it uses less digits than its factorization.

146445540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128492 (or 128490 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 146445540 is about 12101.4685059294. The cubic root of 146445540 is about 527.0988272233.

The spelling of 146445540 in words is "one hundred forty-six million, four hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 128461 256922 385383 513844 642305 770766 1284610 1541532 1926915 2440759 2569220 3853830 4881518 7322277 7707660 9763036 12203795 14644554 24407590 29289108 36611385 48815180 73222770 146445540