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13390720 = 2757361
BaseRepresentation
bin110011000101…
…001110000000
3221012022121121
4303011032000
511412000340
61155002024
7221551000
oct63051600
927168547
1013390720
117616712
124599314
132a0b005
141ac8000
15129794a
hexcc5380

13390720 has 128 divisors (see below), whose sum is σ = 37944000. Its totient is φ = 4515840.

The previous prime is 13390709. The next prime is 13390733. The reversal of 13390720 is 2709331.

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

It is a super-2 number, since 2×133907202 = 358622764236800, which contains 22 as substring.

It is a congruent number.

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, 219490 + ... + 219550.

Almost surely, 213390720 is an apocalyptic number.

13390720 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 13390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

13390720 is an abundant number, since it is smaller than the sum of its proper divisors (24553280).

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

13390720 is an frugal number, since it uses more digits than its factorization.

13390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 13390720 is about 3659.3332726058. Note that the first 3 decimals coincide. The cubic root of 13390720 is about 237.4659304777.

The spelling of 13390720 in words is "thirteen million, three hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 61 64 70 80 98 112 122 128 140 160 196 224 244 245 280 305 320 343 392 427 448 488 490 560 610 640 686 784 854 896 976 980 1120 1220 1372 1568 1708 1715 1952 1960 2135 2240 2440 2744 2989 3136 3416 3430 3904 3920 4270 4480 4880 5488 5978 6272 6832 6860 7808 7840 8540 9760 10976 11956 13664 13720 14945 15680 17080 19520 20923 21952 23912 27328 27440 29890 31360 34160 39040 41846 43904 47824 54656 54880 59780 68320 83692 95648 104615 109760 119560 136640 167384 191296 209230 219520 239120 273280 334768 382592 418460 478240 669536 836920 956480 1339072 1673840 1912960 2678144 3347680 6695360 13390720