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146340500 = 22535412
BaseRepresentation
bin10001011100011…
…11101010010100
3101012100212102112
420232033222110
5244430344000
622304330152
73424605455
oct1056175224
9335325375
10146340500
1175672869
1241013958
132441a317
141561512c
15ccaa235
hex8b8fa94

146340500 has 36 divisors (see below), whose sum is σ = 320199516. Its totient is φ = 58428000.

The previous prime is 146340497. The next prime is 146340517. The reversal of 146340500 is 5043641.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

146340500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 62031376 + 84309124 = 7876^2 + 9182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270230 + ... + 270770.

It is an arithmetic number, because the mean of its divisors is an integer number (8894431).

Almost surely, 2146340500 is an apocalyptic number.

146340500 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 146340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160099758).

146340500 is an abundant number, since it is smaller than the sum of its proper divisors (173859016).

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

146340500 is an frugal number, since it uses more digits than its factorization.

146340500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 146340500 is about 12097.1277582739. The cubic root of 146340500 is about 526.9727742129.

The spelling of 146340500 in words is "one hundred forty-six million, three hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 541 1082 2164 2705 5410 10820 13525 27050 54100 67625 135250 270500 292681 585362 1170724 1463405 2926810 5853620 7317025 14634050 29268100 36585125 73170250 146340500