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13059480 = 2335722221
BaseRepresentation
bin110001110100…
…010110011000
3220120111020110
4301310112120
511320400410
61143524320
7216001200
oct61642630
926514213
1013059480
11740a865
1244596a0
132923305
141a3d400
15122e720
hexc74598

13059480 has 96 divisors (see below), whose sum is σ = 45595440. Its totient is φ = 2983680.

The previous prime is 13059437. The next prime is 13059491. The reversal of 13059480 is 8495031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4770 + ... + 6990.

Almost surely, 213059480 is an apocalyptic number.

13059480 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 13059480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22797720).

13059480 is an abundant number, since it is smaller than the sum of its proper divisors (32535960).

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

13059480 is a wasteful number, since it uses less digits than its factorization.

13059480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13059480 is about 3613.7902540131. The cubic root of 13059480 is about 235.4915319190.

The spelling of 13059480 in words is "thirteen million, fifty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2221 2940 4442 5880 6663 8884 11105 13326 15547 17768 22210 26652 31094 33315 44420 46641 53304 62188 66630 77735 88840 93282 108829 124376 133260 155470 186564 217658 233205 266520 310940 326487 373128 435316 466410 544145 621880 652974 870632 932820 1088290 1305948 1632435 1865640 2176580 2611896 3264870 4353160 6529740 13059480