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13092480 = 273252273
BaseRepresentation
bin110001111100…
…011010000000
3220122011111200
4301330122000
511322424410
61144341200
7216166332
oct61743200
926564450
1013092480
117432635
124474800
13293533b
141a4b452
1512393c0
hexc7c680

13092480 has 96 divisors (see below), whose sum is σ = 45229860. Its totient is φ = 3489792.

The previous prime is 13092479. The next prime is 13092517. The reversal of 13092480 is 8429031.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 304704 = 3576^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4624 + ... + 6896.

Almost surely, 213092480 is an apocalyptic number.

13092480 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 13092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22614930).

13092480 is an abundant number, since it is smaller than the sum of its proper divisors (32137380).

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

13092480 is a wasteful number, since it uses less digits than its factorization.

13092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13092480 is about 3618.3532165890. The cubic root of 13092480 is about 235.6897195964.

The spelling of 13092480 in words is "thirteen million, ninety-two thousand, four hundred 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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2273 2880 4546 5760 6819 9092 11365 13638 18184 20457 22730 27276 34095 36368 40914 45460 54552 68190 72736 81828 90920 102285 109104 136380 145472 163656 181840 204570 218208 272760 290944 327312 363680 409140 436416 545520 654624 727360 818280 872832 1091040 1309248 1454720 1636560 2182080 2618496 3273120 4364160 6546240 13092480