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146206530 = 23258918253
BaseRepresentation
bin10001011011011…
…10111101000010
3101012010001122200
420231232331002
5244412102110
622301414030
73423510051
oct1055567502
9335101580
10146206530
1175591148
1240b6a316
13243a1352
14155bc398
15cc806c0
hex8b6ef42

146206530 has 48 divisors (see below), whose sum is σ = 384429240. Its totient is φ = 38548224.

The previous prime is 146206513. The next prime is 146206531. The reversal of 146206530 is 35602641.

146206530 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 0 + 653 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43204329 + 103002201 = 6573^2 + 10149^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146206494 and 146206503.

It is not an unprimeable number, because it can be changed into a prime (146206531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117 + ... + 17136.

Almost surely, 2146206530 is an apocalyptic number.

146206530 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 146206530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192214620).

146206530 is an abundant number, since it is smaller than the sum of its proper divisors (238222710).

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

146206530 is a wasteful number, since it uses less digits than its factorization.

146206530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18355 (or 18352 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 146206530 is about 12091.5892255733. The cubic root of 146206530 is about 526.8119162661.

The spelling of 146206530 in words is "one hundred forty-six million, two hundred six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 18253 36506 54759 91265 109518 164277 182530 273795 328554 547590 821385 1624517 1642770 3249034 4873551 8122585 9747102 14620653 16245170 24367755 29241306 48735510 73103265 146206530