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1110420520 = 2351173181191
BaseRepresentation
bin100001000101111…
…1010110000101000
32212101110012120221
41002023322300220
54233231424040
6302104055424
736342263416
oct10213726050
92771405527
101110420520
1151a892410
1226ba64574
1314908ba81
14a76922b6
156774374a
hex422fac28

1110420520 has 128 divisors (see below), whose sum is σ = 2792724480. Its totient is φ = 393984000.

The previous prime is 1110420517. The next prime is 1110420541. The reversal of 1110420520 is 250240111.

It is a junction number, because it is equal to n+sod(n) for n = 1110420494 and 1110420503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5813625 + ... + 5813815.

It is an arithmetic number, because the mean of its divisors is an integer number (21818160).

Almost surely, 21110420520 is an apocalyptic number.

1110420520 is a gapful number since it is divisible by the number (10) 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 1110420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396362240).

1110420520 is an abundant number, since it is smaller than the sum of its proper divisors (1682303960).

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

1110420520 is a wasteful number, since it uses less digits than its factorization.

1110420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1110420520 is about 33322.9728565745. The cubic root of 1110420520 is about 1035.5295414644.

Adding to 1110420520 its reverse (250240111), we get a palindrome (1360660631).

The spelling of 1110420520 in words is "one billion, one hundred ten million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 181 191 220 292 362 365 382 440 584 724 730 764 803 905 955 1448 1460 1528 1606 1810 1910 1991 2101 2920 3212 3620 3820 3982 4015 4202 6424 7240 7640 7964 8030 8404 9955 10505 13213 13943 15928 16060 16808 19910 21010 26426 27886 32120 34571 39820 42020 52852 55772 66065 69142 69715 79640 84040 105704 111544 132130 138284 139430 145343 153373 172855 264260 276568 278860 290686 306746 345710 380281 528520 557720 581372 613492 691420 726715 760562 766865 1162744 1226984 1382840 1453430 1521124 1533730 1901405 2523683 2906860 3042248 3067460 3802810 5047366 5813720 6134920 7605620 10094732 12618415 15211240 20189464 25236830 27760513 50473660 55521026 100947320 111042052 138802565 222084104 277605130 555210260 1110420520