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13054080 = 273513523
BaseRepresentation
bin110001110011…
…000010000000
3220120012211110
4301303002000
511320212310
61143443320
7215646354
oct61630200
926505743
1013054080
1174067a6
124456540
132920a10
141a3b464
15122cd20
hexc73080

13054080 has 128 divisors (see below), whose sum is σ = 44896320. Its totient is φ = 3207168.

The previous prime is 13054073. The next prime is 13054103. The reversal of 13054080 is 8045031.

It is a tau number, because it is divible by the number of its divisors (128).

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, 24699 + ... + 25221.

Almost surely, 213054080 is an apocalyptic number.

13054080 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 13054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448160).

13054080 is an abundant number, since it is smaller than the sum of its proper divisors (31842240).

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

13054080 is a wasteful number, since it uses less digits than its factorization.

13054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

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

The square root of 13054080 is about 3613.0430387694. The cubic root of 13054080 is about 235.4590694324.

The spelling of 13054080 in words is "thirteen million, fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 523 624 640 780 832 960 1040 1046 1248 1560 1569 1664 1920 2080 2092 2496 2615 3120 3138 4160 4184 4992 5230 6240 6276 6799 7845 8320 8368 10460 12480 12552 13598 15690 16736 20397 20920 24960 25104 27196 31380 33472 33995 40794 41840 50208 54392 62760 66944 67990 81588 83680 100416 101985 108784 125520 135980 163176 167360 200832 203970 217568 251040 271960 326352 334720 407940 435136 502080 543920 652704 815880 870272 1004160 1087840 1305408 1631760 2175680 2610816 3263520 4351360 6527040 13054080