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463240 = 23537313
BaseRepresentation
bin1110001000110001000
3212112110001
41301012020
5104310430
613532344
73636361
oct1610610
9775401
10463240
11297048
121a40b4
13132b0b
14c0b68
15923ca
hex71188

463240 has 32 divisors (see below), whose sum is σ = 1073880. Its totient is φ = 179712.

The previous prime is 463237. The next prime is 463247. The reversal of 463240 is 42364.

It can be written as a sum of positive squares in 4 ways, for example, as 320356 + 142884 = 566^2 + 378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463247) 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 7 ways as a sum of consecutive naturals, for example, 1324 + ... + 1636.

2463240 is an apocalyptic number.

463240 is a gapful number since it is divisible by the number (40) 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 463240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536940).

463240 is an abundant number, since it is smaller than the sum of its proper divisors (610640).

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

463240 is a wasteful number, since it uses less digits than its factorization.

463240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 463240 is about 680.6173668075. The cubic root of 463240 is about 77.3752415209.

It can be divided in two parts, 463 and 240, that added together give a triangular number (703 = T37).

The spelling of 463240 in words is "four hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 313 370 626 740 1252 1480 1565 2504 3130 6260 11581 12520 23162 46324 57905 92648 115810 231620 463240