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464130 = 2355191
BaseRepresentation
bin1110001010100000010
3212120200000
41301110002
5104323010
613540430
73642102
oct1612402
9776600
10464130
11297787
121a4716
13133344
14c1202
15927c0
hex71502

464130 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 123120.

The previous prime is 464129. The next prime is 464131. The reversal of 464130 is 31464.

It is an interprime number because it is at equal distance from previous prime (464129) and next prime (464131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (464131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2335 + ... + 2525.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2464130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

464130 is an abundant number, since it is smaller than the sum of its proper divisors (793854).

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

464130 is a wasteful number, since it uses less digits than its factorization.

464130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 464130 is about 681.2708712399. The cubic root of 464130 is about 77.4247622231.

Adding to 464130 its reverse (31464), we get a palindrome (495594).

The spelling of 464130 in words is "four hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 191 243 270 382 405 486 573 810 955 1146 1215 1719 1910 2430 2865 3438 5157 5730 8595 10314 15471 17190 25785 30942 46413 51570 77355 92826 154710 232065 464130