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1241424320 = 26517228203
BaseRepresentation
bin100100111111110…
…1010000111000000
310012111221220000112
41021333222013000
510020301034240
6323104010452
742522634613
oct11177520700
93174856015
101241424320
1158782a514
122a7900a28
1316a269406
14bac3417a
1573ebe665
hex49fea1c0

1241424320 has 56 divisors (see below), whose sum is σ = 3130046064. Its totient is φ = 467357696.

The previous prime is 1241424313. The next prime is 1241424323. The reversal of 1241424320 is 234241421.

It is a super-3 number, since 3×12414243203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241424323) 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, 108662 + ... + 119541.

Almost surely, 21241424320 is an apocalyptic number.

1241424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241424320 is an abundant number, since it is smaller than the sum of its proper divisors (1888621744).

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

1241424320 is a wasteful number, since it uses less digits than its factorization.

1241424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228237 (or 228227 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1241424320 is about 35233.8519040993. The cubic root of 1241424320 is about 1074.7482576193.

Adding to 1241424320 its reverse (234241421), we get a palindrome (1475665741).

The spelling of 1241424320 in words is "one billion, two hundred forty-one million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 228203 456406 912812 1141015 1825624 2282030 3651248 3879451 4564060 7302496 7758902 9128120 14604992 15517804 18256240 19397255 31035608 36512480 38794510 62071216 73024960 77589020 124142432 155178040 248284864 310356080 620712160 1241424320