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466830 = 233571319
BaseRepresentation
bin1110001111110001110
3212201101000
41301332032
5104414310
614001130
73653010
oct1617616
9781330
10466830
11299811
121a61a6
13134640
14c21b0
15934c0
hex71f8e

466830 has 128 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 93312.

The previous prime is 466819. The next prime is 466853. The reversal of 466830 is 38664.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 466794 and 466803.

It is a congruent number.

It is an unprimeable number.

466830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a Kaprekar number, because its square (217930248900) can be partitioned into two parts whose sum is 466830.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24561 + ... + 24579.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2466830 is an apocalyptic number.

466830 is the 342-nd decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

466830 is an abundant number, since it is smaller than the sum of its proper divisors (1145970).

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

466830 is a wasteful number, since it uses less digits than its factorization.

466830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 466830 is about 683.2495883643. The cubic root of 466830 is about 77.5746073080.

It can be divided in two parts, 466 and 830, that added together give a 4-th power (1296 = 64).

The spelling of 466830 in words is "four hundred sixty-six thousand, eight hundred thirty".