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13450080 = 253574003
BaseRepresentation
bin110011010011…
…101101100000
3221022100001010
4303103231200
511420400310
61200140520
7222216030
oct63235540
927270033
1013450080
117657276
124607740
132a2c037
141b018c0
1512aa320
hexcd3b60

13450080 has 96 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 3073536.

The previous prime is 13450079. The next prime is 13450093. The reversal of 13450080 is 8005431.

13450080 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1359 + ... + 5361.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 213450080 is an apocalyptic number.

13450080 is a gapful number since it is divisible by the number (10) 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 13450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

13450080 is an abundant number, since it is smaller than the sum of its proper divisors (34982304).

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

13450080 is a wasteful number, since it uses less digits than its factorization.

13450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13450080 is about 3667.4350709999. The cubic root of 13450080 is about 237.8163024764.

The spelling of 13450080 in words is "thirteen million, four hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 4003 8006 12009 16012 20015 24018 28021 32024 40030 48036 56042 60045 64048 80060 84063 96072 112084 120090 128096 140105 160120 168126 192144 224168 240180 280210 320240 336252 384288 420315 448336 480360 560420 640480 672504 840630 896672 960720 1120840 1345008 1681260 1921440 2241680 2690016 3362520 4483360 6725040 13450080