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2754453120 = 27353074673
BaseRepresentation
bin1010010000101101…
…1001111010000000
321002221222201100020
42210023121322000
521120114444440
61133153253440
7125154315366
oct24413317200
97087881306
102754453120
1111938a9441
1264a564280
1334b870a23
141c1b69636
15111c3e3d0
hexa42d9e80

2754453120 has 128 divisors (see below), whose sum is σ = 8810303040. Its totient is φ = 731971584.

The previous prime is 2754453019. The next prime is 2754453131. The reversal of 2754453120 is 213544572.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587104 + ... + 591776.

Almost surely, 22754453120 is an apocalyptic number.

2754453120 is a gapful number since it is divisible by the number (20) 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 2754453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405151520).

2754453120 is an abundant number, since it is smaller than the sum of its proper divisors (6055849920).

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

2754453120 is a wasteful number, since it uses less digits than its factorization.

2754453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2754453120 is about 52482.8840670937. The cubic root of 2754453120 is about 1401.7754888585.

Adding to 2754453120 its reverse (213544572), we get a palindrome (2967997692).

The spelling of 2754453120 in words is "two billion, seven hundred fifty-four million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 307 320 384 480 614 640 921 960 1228 1535 1842 1920 2456 3070 3684 4605 4673 4912 6140 7368 9210 9346 9824 12280 14019 14736 18420 18692 19648 23365 24560 28038 29472 36840 37384 39296 46730 49120 56076 58944 70095 73680 74768 93460 98240 112152 117888 140190 147360 149536 186920 196480 224304 280380 294720 299072 373840 448608 560760 589440 598144 747680 897216 1121520 1434611 1495360 1794432 2243040 2869222 2990720 4303833 4486080 5738444 7173055 8607666 8972160 11476888 14346110 17215332 21519165 22953776 28692220 34430664 43038330 45907552 57384440 68861328 86076660 91815104 114768880 137722656 172153320 183630208 229537760 275445312 344306640 459075520 550890624 688613280 918151040 1377226560 2754453120