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46080 = 210325
BaseRepresentation
bin1011010000000000
32100012200
423100000
52433310
6553200
7251226
oct132000
970180
1046080
1131691
1222800
1317c88
1412b16
15d9c0
hexb400

46080 has 66 divisors (see below), whose sum is σ = 159666. Its totient is φ = 12288.

The previous prime is 46073. The next prime is 46091. The reversal of 46080 is 8064.

It can be divided in two parts, 4 and 6080, that added together give a square (6084 = 782).

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)6.

It is a double factorial (46080 = 12 !! = 2 ⋅ 4 ⋅ 6 ⋅ 8 ⋅ 10 ⋅ 12 ).

It can be written as a sum of positive squares in only one way, i.e., 36864 + 9216 = 192^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 6 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9214 + ... + 9218.

246080 is an apocalyptic number.

46080 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 46080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833).

46080 is an abundant number, since it is smaller than the sum of its proper divisors (113586).

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

46080 is a wasteful number, since it uses less digits than its factorization.

46080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 46080 is about 214.6625258400. The cubic root of 46080 is about 35.8512379725.

The spelling of 46080 in words is "forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080