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426480 = 24351777
BaseRepresentation
bin1101000000111110000
3210200000120
41220013300
5102121410
613050240
73424245
oct1500760
9720016
10426480
1127146a
12186980
1311c172
14b15cc
1586570
hex681f0

426480 has 40 divisors (see below), whose sum is σ = 1322832. Its totient is φ = 113664.

The previous prime is 426469. The next prime is 426487. The reversal of 426480 is 84624.

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 426480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426487) 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, 649 + ... + 1128.

2426480 is an apocalyptic number.

426480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426480 is an abundant number, since it is smaller than the sum of its proper divisors (896352).

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

426480 is a wasteful number, since it uses less digits than its factorization.

426480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1787 counting only the distinct ones).

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

The square root of 426480 is about 653.0543622088. The cubic root of 426480 is about 75.2719019554.

It can be divided in two parts, 426 and 480, that multiplied together give a triangular number (204480 = T639).

The spelling of 426480 in words is "four hundred twenty-six 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 1777 3554 5331 7108 8885 10662 14216 17770 21324 26655 28432 35540 42648 53310 71080 85296 106620 142160 213240 426480