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534480 = 243517131
BaseRepresentation
bin10000010011111010000
31000011011120
42002133100
5114100410
615242240
74354152
oct2023720
91004146
10534480
11335621
12219380
1315937b
14dcad2
15a8570
hex827d0

534480 has 80 divisors (see below), whose sum is σ = 1767744. Its totient is φ = 133120.

The previous prime is 534473. The next prime is 534491. The reversal of 534480 is 84435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 534480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4015 + ... + 4145.

2534480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883872).

534480 is an abundant number, since it is smaller than the sum of its proper divisors (1233264).

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

534480 is a wasteful number, since it uses less digits than its factorization.

534480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 534480 is about 731.0813908177. The cubic root of 534480 is about 81.1541038246.

The spelling of 534480 in words is "five hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 131 136 170 204 240 255 262 272 340 393 408 510 524 655 680 786 816 1020 1048 1310 1360 1572 1965 2040 2096 2227 2620 3144 3930 4080 4454 5240 6288 6681 7860 8908 10480 11135 13362 15720 17816 22270 26724 31440 33405 35632 44540 53448 66810 89080 106896 133620 178160 267240 534480