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13472480 = 255723523
BaseRepresentation
bin110011011001…
…001011100000
3221100110202202
4303121023200
511422104410
61200432332
7222341240
oct63311340
927313682
1013472480
11767208a
1246186a8
132a392a8
141b09b20
1512b1ca5
hexcd92e0

13472480 has 96 divisors (see below), whose sum is σ = 38029824. Its totient is φ = 4409856.

The previous prime is 13472479. The next prime is 13472497. The reversal of 13472480 is 8427431.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 25499 + ... + 26021.

It is an arithmetic number, because the mean of its divisors is an integer number (396144).

Almost surely, 213472480 is an apocalyptic number.

13472480 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 13472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014912).

13472480 is an abundant number, since it is smaller than the sum of its proper divisors (24557344).

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

13472480 is a wasteful number, since it uses less digits than its factorization.

13472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 13472480 is about 3670.4877060140. The cubic root of 13472480 is about 237.9482504062.

The spelling of 13472480 in words is "thirteen million, four hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 523 560 644 736 805 920 1046 1120 1288 1610 1840 2092 2576 2615 3220 3661 3680 4184 5152 5230 6440 7322 8368 10460 12029 12880 14644 16736 18305 20920 24058 25760 29288 36610 41840 48116 58576 60145 73220 83680 84203 96232 117152 120290 146440 168406 192464 240580 292880 336812 384928 421015 481160 585760 673624 842030 962320 1347248 1684060 1924640 2694496 3368120 6736240 13472480