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4053280 = 255721147
BaseRepresentation
bin1111011101100100100000
321121221001111
433131210200
52014201110
6222513104
746311100
oct17354440
97557044
104053280
112319320
121435794
13abbbba
14777200
15550e8a
hex3dd920

4053280 has 144 divisors (see below), whose sum is σ = 12410496. Its totient is φ = 1236480.

The previous prime is 4053229. The next prime is 4053311. The reversal of 4053280 is 823504.

4053280 is nontrivially palindromic in base 13.

4053280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a nialpdrome in base 14.

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 23 ways as a sum of consecutive naturals, for example, 86217 + ... + 86263.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

Almost surely, 24053280 is an apocalyptic number.

4053280 is a gapful number since it is divisible by the number (40) 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 4053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248).

4053280 is an abundant number, since it is smaller than the sum of its proper divisors (8357216).

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

4053280 is a wasteful number, since it uses less digits than its factorization.

4053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4053280 is about 2013.2759373717. The cubic root of 4053280 is about 159.4418048784.

Adding to 4053280 its reverse (823504), we get a palindrome (4876784).

The spelling of 4053280 in words is "four million, fifty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 47 49 55 56 70 77 80 88 94 98 110 112 140 154 160 176 188 196 220 224 235 245 280 308 329 352 376 385 392 440 470 490 517 539 560 616 658 752 770 784 880 940 980 1034 1078 1120 1232 1316 1504 1540 1568 1645 1760 1880 1960 2068 2156 2303 2464 2585 2632 2695 3080 3290 3619 3760 3920 4136 4312 4606 5170 5264 5390 6160 6580 7238 7520 7840 8272 8624 9212 10340 10528 10780 11515 12320 13160 14476 16544 17248 18095 18424 20680 21560 23030 25333 26320 28952 36190 36848 41360 43120 46060 50666 52640 57904 72380 73696 82720 86240 92120 101332 115808 126665 144760 184240 202664 253330 289520 368480 405328 506660 579040 810656 1013320 2026640 4053280