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463640 = 23567173
BaseRepresentation
bin1110001001100011000
3212112222212
41301030120
5104314030
613534252
73640502
oct1611430
9775885
10463640
11297381
121a4388
13133058
14c0d72
1592595
hex71318

463640 has 32 divisors (see below), whose sum is σ = 1064880. Its totient is φ = 181632.

The previous prime is 463633. The next prime is 463643. The reversal of 463640 is 46364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2594 + ... + 2766.

2463640 is an apocalyptic number.

463640 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 463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532440).

463640 is an abundant number, since it is smaller than the sum of its proper divisors (601240).

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

463640 is a wasteful number, since it uses less digits than its factorization.

463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 463640 is about 680.9111542632. The cubic root of 463640 is about 77.3975058566.

The spelling of 463640 in words is "four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 173 268 335 346 536 670 692 865 1340 1384 1730 2680 3460 6920 11591 23182 46364 57955 92728 115910 231820 463640