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1241616440 = 235296911549
BaseRepresentation
bin100101000000001…
…1001000000111000
310012112022122120002
41022000121000320
510020323211230
6323112052132
742524365001
oct11200310070
93175278502
101241616440
11587950899
122a7994048
1316a3059ac
14bac841a8
157400b545
hex4a019038

1241616440 has 64 divisors (see below), whose sum is σ = 2896020000. Its totient is φ = 478517760.

The previous prime is 1241616421. The next prime is 1241616449. The reversal of 1241616440 is 446161421.

It is a super-2 number, since 2×12416164402 = 3083222768156547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241616449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800786 + ... + 802334.

Almost surely, 21241616440 is an apocalyptic number.

1241616440 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 1241616440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448010000).

1241616440 is an abundant number, since it is smaller than the sum of its proper divisors (1654403560).

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

1241616440 is a wasteful number, since it uses less digits than its factorization.

1241616440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1241616440 is about 35236.5781539581. The cubic root of 1241616440 is about 1074.8036966237.

Adding to 1241616440 its reverse (446161421), we get a palindrome (1687777861).

The spelling of 1241616440 in words is "one billion, two hundred forty-one million, six hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 691 1160 1382 1549 2764 3098 3455 5528 6196 6910 7745 12392 13820 15490 20039 27640 30980 40078 44921 61960 80156 89842 100195 160312 179684 200390 224605 359368 400780 449210 801560 898420 1070359 1796840 2140718 4281436 5351795 8562872 10703590 21407180 31040411 42814360 62080822 124161644 155202055 248323288 310404110 620808220 1241616440