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5741601120 = 2532527114713
BaseRepresentation
bin1010101100011100…
…11110000101100000
3112211010211120001100
411112032132011200
543224322213440
62345422234400
7262165542603
oct52616360540
915733746040
105741601120
112486a909a2
121142a25a00
137066a5518
143c678833a
152390e5230
hex15639e160

5741601120 has 144 divisors (see below), whose sum is σ = 19666850112. Its totient is φ = 1525340160.

The previous prime is 5741601079. The next prime is 5741601121. The reversal of 5741601120 is 211061475.

It is a happy number.

5741601120 is a `hidden beast` number, since 5 + 7 + 41 + 601 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741601121) 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, 382884 + ... + 397596.

It is an arithmetic number, because the mean of its divisors is an integer number (136575348).

Almost surely, 25741601120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5741601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833425056).

5741601120 is an abundant number, since it is smaller than the sum of its proper divisors (13925248992).

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

5741601120 is a wasteful number, since it uses less digits than its factorization.

5741601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15005 (or 14994 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5741601120 is about 75773.3536277760. The cubic root of 5741601120 is about 1790.6512325132.

Adding to 5741601120 its reverse (211061475), we get a palindrome (5952662595).

The spelling of 5741601120 in words is "five billion, seven hundred forty-one million, six hundred one 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 96 120 144 160 180 240 271 288 360 480 542 720 813 1084 1355 1440 1626 2168 2439 2710 3252 4065 4336 4878 5420 6504 8130 8672 9756 10840 12195 13008 14713 16260 19512 21680 24390 26016 29426 32520 39024 43360 44139 48780 58852 65040 73565 78048 88278 97560 117704 130080 132417 147130 176556 195120 220695 235408 264834 294260 353112 390240 441390 470816 529668 588520 662085 706224 882780 1059336 1177040 1324170 1412448 1765560 2118672 2354080 2648340 3531120 3987223 4237344 5296680 7062240 7974446 10593360 11961669 15948892 19936115 21186720 23923338 31897784 35885007 39872230 47846676 59808345 63795568 71770014 79744460 95693352 119616690 127591136 143540028 159488920 179425035 191386704 239233380 287080056 318977840 358850070 382773408 478466760 574160112 637955680 717700140 956933520 1148320224 1435400280 1913867040 2870800560 5741601120