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1241241320 = 2351126910487
BaseRepresentation
bin100100111111011…
…1101011011101000
310012111121120222202
41021332331123220
510020224210240
6323100035332
742521243234
oct11176753350
93174546882
101241241320
11587714a80
122a7832b48
1316a204027
14babc75c4
1573e85315
hex49fbd6e8

1241241320 has 64 divisors (see below), whose sum is σ = 3058300800. Its totient is φ = 449639680.

The previous prime is 1241241319. The next prime is 1241241389. The reversal of 1241241320 is 231421421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1241241292 and 1241241301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113117 + ... + 123603.

It is an arithmetic number, because the mean of its divisors is an integer number (47785950).

Almost surely, 21241241320 is an apocalyptic number.

1241241320 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 1241241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529150400).

1241241320 is an abundant number, since it is smaller than the sum of its proper divisors (1817059480).

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

1241241320 is a wasteful number, since it uses less digits than its factorization.

1241241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1241241320 is about 35231.2548740461. The cubic root of 1241241320 is about 1074.6954450038.

Adding to 1241241320 its reverse (231421421), we get a palindrome (1472662741).

The spelling of 1241241320 in words is "one billion, two hundred forty-one million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 269 440 538 1076 1345 2152 2690 2959 5380 5918 10487 10760 11836 14795 20974 23672 29590 41948 52435 59180 83896 104870 115357 118360 209740 230714 419480 461428 576785 922856 1153570 2307140 2821003 4614280 5642006 11284012 14105015 22568024 28210030 31031033 56420060 62062066 112840120 124124132 155155165 248248264 310310330 620620660 1241241320