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4040200240 = 2452331193367
BaseRepresentation
bin1111000011010000…
…1001000000110000
3101102120100102210221
43300310021000300
531233242401430
61504523302424
7202056064306
oct36064110060
911376312727
104040200240
11179365126a
1294907aa14
134c505843b
142a481a276
15189a6657a
hexf0d09030

4040200240 has 160 divisors (see below), whose sum is σ = 10198204416. Its totient is φ = 1484144640.

The previous prime is 4040200231. The next prime is 4040200273. The reversal of 4040200240 is 420020404.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 31 ways as a sum of consecutive naturals, for example, 11008537 + ... + 11008903.

Almost surely, 24040200240 is an apocalyptic number.

4040200240 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 4040200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099102208).

4040200240 is an abundant number, since it is smaller than the sum of its proper divisors (6158004176).

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

4040200240 is a wasteful number, since it uses less digits than its factorization.

4040200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4040200240 is about 63562.5694886542. The cubic root of 4040200240 is about 1592.7011612244.

Adding to 4040200240 its reverse (420020404), we get a palindrome (4460220644).

The spelling of 4040200240 in words is "four billion, forty million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 193 230 248 310 367 368 386 460 496 620 713 734 772 920 965 1240 1426 1468 1544 1835 1840 1930 2480 2852 2936 3088 3565 3670 3860 4439 5704 5872 5983 7130 7340 7720 8441 8878 11377 11408 11966 14260 14680 15440 16882 17756 22195 22754 23932 28520 29360 29915 33764 35512 42205 44390 45508 47864 56885 57040 59830 67528 70831 71024 84410 88780 91016 95728 113770 119660 135056 137609 141662 168820 177560 182032 227540 239320 261671 275218 283324 337640 354155 355120 455080 478640 523342 550436 566648 675280 688045 708310 910160 1046684 1100872 1133296 1308355 1376090 1416620 1629113 2093368 2195761 2201744 2616710 2752180 2833240 3258226 4186736 4391522 5233420 5504360 5666480 6516452 8145565 8783044 10466840 10978805 11008720 13032904 16291130 17566088 20933680 21957610 26065808 32582260 35132176 43915220 50502503 65164520 87830440 101005006 130329040 175660880 202010012 252512515 404020024 505025030 808040048 1010050060 2020100120 4040200240