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13704480 = 2532531307
BaseRepresentation
bin110100010001…
…110100100000
3221210021000100
4310101310200
512002020410
61205422400
7224325516
oct64216440
927707010
1013704480
117810419
12470aa00
132abaa7a
141b6a4b6
15130a8c0
hexd11d20

13704480 has 144 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 3525120.

The previous prime is 13704479. The next prime is 13704497. The reversal of 13704480 is 8440731.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44487 + ... + 44793.

It is an arithmetic number, because the mean of its divisors is an integer number (336336).

Almost surely, 213704480 is an apocalyptic number.

13704480 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 13704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

13704480 is an abundant number, since it is smaller than the sum of its proper divisors (34727904).

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

13704480 is a wasteful number, since it uses less digits than its factorization.

13704480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

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

The square root of 13704480 is about 3701.9562396117. The cubic root of 13704480 is about 239.3063303584.

The spelling of 13704480 in words is "thirteen million, seven hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 307 310 360 372 465 480 496 558 614 620 720 744 921 930 992 1116 1228 1240 1395 1440 1488 1535 1842 1860 2232 2456 2480 2763 2790 2976 3070 3684 3720 4464 4605 4912 4960 5526 5580 6140 7368 7440 8928 9210 9517 9824 11052 11160 12280 13815 14736 14880 18420 19034 22104 22320 24560 27630 28551 29472 36840 38068 44208 44640 47585 49120 55260 57102 73680 76136 85653 88416 95170 110520 114204 142755 147360 152272 171306 190340 221040 228408 285510 304544 342612 380680 428265 442080 456816 571020 685224 761360 856530 913632 1142040 1370448 1522720 1713060 2284080 2740896 3426120 4568160 6852240 13704480