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642480 = 24352677
BaseRepresentation
bin10011100110110110000
31012122022120
42130312300
5131024410
621434240
75314056
oct2346660
91178276
10642480
113a9783
1226b980
13196587
1412a1d6
15ca570
hex9cdb0

642480 has 40 divisors (see below), whose sum is σ = 1992432. Its totient is φ = 171264.

The previous prime is 642457. The next prime is 642487. The reversal of 642480 is 84246.

642480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 642480.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642480.

It is not an unprimeable number, because it can be changed into a prime (642487) 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, 1099 + ... + 1578.

2642480 is an apocalyptic number.

642480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642480 is an abundant number, since it is smaller than the sum of its proper divisors (1349952).

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

642480 is a wasteful number, since it uses less digits than its factorization.

642480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 642480 is about 801.5485013398. The cubic root of 642480 is about 86.2885565904.

It can be divided in two parts, 6 and 42480, that added together give a triangular number (42486 = T291).

The spelling of 642480 in words is "six hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2677 5354 8031 10708 13385 16062 21416 26770 32124 40155 42832 53540 64248 80310 107080 128496 160620 214160 321240 642480