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13074480 = 243356053
BaseRepresentation
bin110001111000…
…000000110000
3220121020211000
4301320000300
511321340410
61144122000
7216063006
oct61700060
926536730
1013074480
117420061
124466300
13292a0a3
141a44a76
151233dc0
hexc78030

13074480 has 80 divisors (see below), whose sum is σ = 45041760. Its totient is φ = 3485952.

The previous prime is 13074469. The next prime is 13074487. The reversal of 13074480 is 8447031.

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 (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13074487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867 + ... + 5186.

It is an arithmetic number, because the mean of its divisors is an integer number (563022).

Almost surely, 213074480 is an apocalyptic number.

13074480 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 13074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22520880).

13074480 is an abundant number, since it is smaller than the sum of its proper divisors (31967280).

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

13074480 is a wasteful number, since it uses less digits than its factorization.

13074480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13074480 is about 3615.8650417293. The cubic root of 13074480 is about 235.5816585658.

The spelling of 13074480 in words is "thirteen million, seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6053 12106 18159 24212 30265 36318 48424 54477 60530 72636 90795 96848 108954 121060 145272 163431 181590 217908 242120 272385 290544 326862 363180 435816 484240 544770 653724 726360 817155 871632 1089540 1307448 1452720 1634310 2179080 2614896 3268620 4358160 6537240 13074480