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1241420240 = 24517912809
BaseRepresentation
bin100100111111110…
…1001000111010000
310012111221200102102
41021333221013100
510020300421430
6323103535532
742522616664
oct11177510720
93174850372
101241420240
11587827445
122a78ba5a8
1316a2675b8
14bac328a4
1573ebd345
hex49fe91d0

1241420240 has 40 divisors (see below), whose sum is σ = 3056087880. Its totient is φ = 467357696.

The previous prime is 1241420231. The next prime is 1241420249. The reversal of 1241420240 is 420241421.

It is an interprime number because it is at equal distance from previous prime (1241420231) and next prime (1241420249).

It can be written as a sum of positive squares in 4 ways, for example, as 679540624 + 561879616 = 26068^2 + 23704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12414202402 = 3082248424563315200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241420249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455045 + ... + 457764.

It is an arithmetic number, because the mean of its divisors is an integer number (76402197).

Almost surely, 21241420240 is an apocalyptic number.

1241420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241420240 is an abundant number, since it is smaller than the sum of its proper divisors (1814667640).

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

1241420240 is a wasteful number, since it uses less digits than its factorization.

1241420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912839 (or 912833 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1241420240 is about 35233.7940051877. The cubic root of 1241420240 is about 1074.7470802143.

Adding to 1241420240 its reverse (420241421), we get a palindrome (1661661661).

The spelling of 1241420240 in words is "one billion, two hundred forty-one million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 912809 1825618 3651236 4564045 7302472 9128090 14604944 15517753 18256180 31035506 36512360 62071012 73024720 77588765 124142024 155177530 248284048 310355060 620710120 1241420240