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4060905120 = 2532517316301
BaseRepresentation
bin1111001000001100…
…0111111010100000
3101111000022100120100
43302003013322200
531304042430440
61510543142400
7202430060346
oct36203077240
911430270510
104060905120
1117a4303138
12953ba4a00
134c942764c
142a7489996
1518b7a6230
hexf20c7ea0

4060905120 has 144 divisors (see below), whose sum is σ = 13938796872. Its totient is φ = 1076582400.

The previous prime is 4060905029. The next prime is 4060905127. The reversal of 4060905120 is 215090604.

4060905120 is a `hidden beast` number, since 4 + 0 + 60 + 90 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4055651856 + 5253264 = 63684^2 + 2292^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4060905127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240970 + ... + 257270.

Almost surely, 24060905120 is an apocalyptic number.

4060905120 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 4060905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969398436).

4060905120 is an abundant number, since it is smaller than the sum of its proper divisors (9877891752).

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

4060905120 is a wasteful number, since it uses less digits than its factorization.

4060905120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16495 (or 16484 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4060905120 is about 63725.2314236677. The cubic root of 4060905120 is about 1595.4172406466.

Adding to 4060905120 its reverse (215090604), we get a palindrome (4275995724).

The spelling of 4060905120 in words is "four billion, sixty million, nine hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 173 180 240 288 346 360 480 519 692 720 865 1038 1384 1440 1557 1730 2076 2595 2768 3114 3460 4152 5190 5536 6228 6920 7785 8304 10380 12456 13840 15570 16301 16608 20760 24912 27680 31140 32602 41520 48903 49824 62280 65204 81505 83040 97806 124560 130408 146709 163010 195612 244515 249120 260816 293418 326020 391224 489030 521632 586836 652040 733545 782448 978060 1173672 1304080 1467090 1564896 1956120 2347344 2608160 2820073 2934180 3912240 4694688 5640146 5868360 7824480 8460219 11280292 11736720 14100365 16920438 22560584 23473440 25380657 28200730 33840876 42301095 45121168 50761314 56401460 67681752 84602190 90242336 101522628 112802920 126903285 135363504 169204380 203045256 225605840 253806570 270727008 338408760 406090512 451211680 507613140 676817520 812181024 1015226280 1353635040 2030452560 4060905120