Search a number
-
+
605040913920 = 2935503156623
BaseRepresentation
bin10001100110111110011…
…11111010111000000000
32010211201100020000101210
420303133033322320000
534403110433221140
61141541342330120
761466322625032
oct10633717727000
92124640200353
10605040913920
11213661905863
1299316b89940
1345094112901
14213d9955c52
1510b126a6d80
hex8cdf3fae00

605040913920 has 160 divisors (see below), whose sum is σ = 1938097953792. Its totient is φ = 161022451712.

The previous prime is 605040913891. The next prime is 605040913933. The reversal of 605040913920 is 29319040506.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 3784729 + ... + 3941351.

Almost surely, 2605040913920 is an apocalyptic number.

605040913920 is a gapful number since it is divisible by the number (60) 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 605040913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969048976896).

605040913920 is an abundant number, since it is smaller than the sum of its proper divisors (1333057039872).

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

605040913920 is a wasteful number, since it uses less digits than its factorization.

605040913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157152 (or 157136 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 605040913920 in words is "six hundred five billion, forty million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 503 512 640 768 960 1006 1280 1509 1536 1920 2012 2515 2560 3018 3840 4024 5030 6036 7545 7680 8048 10060 12072 15090 16096 20120 24144 30180 32192 40240 48288 60360 64384 80480 96576 120720 128768 156623 160960 193152 241440 257536 313246 321920 386304 469869 482880 626492 643840 772608 783115 939738 965760 1252984 1287680 1566230 1879476 1931520 2349345 2505968 3132460 3758952 3863040 4698690 5011936 6264920 7517904 9397380 10023872 12529840 15035808 18794760 20047744 25059680 30071616 37589520 40095488 50119360 60143232 75179040 78781369 80190976 100238720 120286464 150358080 157562738 200477440 236344107 240572928 300716160 315125476 393906845 400954880 472688214 601432320 630250952 787813690 945376428 1181720535 1202864640 1260501904 1575627380 1890752856 2363441070 2521003808 3151254760 3781505712 4726882140 5042007616 6302509520 7563011424 9453764280 10084015232 12605019040 15126022848 18907528560 20168030464 25210038080 30252045696 37815057120 40336060928 50420076160 60504091392 75630114240 100840152320 121008182784 151260228480 201680304640 302520456960 605040913920