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660480 = 2103543
BaseRepresentation
bin10100001010000000000
31020120000020
42201100000
5132113410
622053440
75420412
oct2412000
91216006
10660480
11411257
1227a280
131a1822
141329b2
15d0a70
hexa1400

660480 has 88 divisors (see below), whose sum is σ = 2161632. Its totient is φ = 172032.

The previous prime is 660449. The next prime is 660493. The reversal of 660480 is 84066.

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 660480.

It is a congruent number.

It is an unprimeable number.

660480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15339 + ... + 15381.

It is an arithmetic number, because the mean of its divisors is an integer number (24564).

2660480 is an apocalyptic number.

660480 is a gapful number since it is divisible by the number (60) 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 660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080816).

660480 is an abundant number, since it is smaller than the sum of its proper divisors (1501152).

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

660480 is a wasteful number, since it uses less digits than its factorization.

660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 660480 is about 812.6992063488. The cubic root of 660480 is about 87.0869786762.

The spelling of 660480 in words is "six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1024 1032 1280 1290 1376 1536 1720 1920 2064 2560 2580 2752 3072 3440 3840 4128 5120 5160 5504 6880 7680 8256 10320 11008 13760 15360 16512 20640 22016 27520 33024 41280 44032 55040 66048 82560 110080 132096 165120 220160 330240 660480