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13054720 = 28573147
BaseRepresentation
bin110001110011…
…001100000000
3220120020201011
4301303030000
511320222340
61143450304
7215651260
oct61631400
926506634
1013054720
117407228
124456994
1329210b3
141a3b7a0
15122d0ea
hexc73300

13054720 has 144 divisors (see below), whose sum is σ = 37675008. Its totient is φ = 4239360.

The previous prime is 13054709. The next prime is 13054763. The reversal of 13054720 is 2745031.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13054691 and 13054700.

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, 277737 + ... + 277783.

It is an arithmetic number, because the mean of its divisors is an integer number (261632).

Almost surely, 213054720 is an apocalyptic number.

13054720 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 13054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837504).

13054720 is an abundant number, since it is smaller than the sum of its proper divisors (24620288).

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

13054720 is an equidigital number, since it uses as much as digits as its factorization.

13054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 13054720 is about 3613.1316056850. The cubic root of 13054720 is about 235.4629173058.

Adding to 13054720 its reverse (2745031), we get a palindrome (15799751).

The spelling of 13054720 in words is "thirteen million, fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 47 56 62 64 70 80 94 112 124 128 140 155 160 188 217 224 235 248 256 280 310 320 329 376 434 448 470 496 560 620 640 658 752 868 896 940 992 1085 1120 1240 1280 1316 1457 1504 1645 1736 1792 1880 1984 2170 2240 2480 2632 2914 3008 3290 3472 3760 3968 4340 4480 4960 5264 5828 6016 6580 6944 7285 7520 7936 8680 8960 9920 10199 10528 11656 12032 13160 13888 14570 15040 17360 19840 20398 21056 23312 26320 27776 29140 30080 34720 39680 40796 42112 46624 50995 52640 55552 58280 60160 69440 81592 84224 93248 101990 105280 116560 138880 163184 186496 203980 210560 233120 277760 326368 372992 407960 421120 466240 652736 815920 932480 1305472 1631840 1864960 2610944 3263680 6527360 13054720