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1241332320 = 253519136111
BaseRepresentation
bin100100111111101…
…0011101001100000
310012111210012211010
41021333103221200
510020240113240
6323102020520
742522102444
oct11177235140
93174705733
101241332320
11587777388
122a7877740
1316a236587
14bac0c824
1573ea2280
hex49fd3a60

1241332320 has 96 divisors (see below), whose sum is σ = 4116026880. Its totient is φ = 313597440.

The previous prime is 1241332307. The next prime is 1241332321. The reversal of 1241332320 is 232331421.

1241332320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241332321) 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, 58936 + ... + 77175.

It is an arithmetic number, because the mean of its divisors is an integer number (42875280).

Almost surely, 21241332320 is an apocalyptic number.

1241332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241332320 is an abundant number, since it is smaller than the sum of its proper divisors (2874694560).

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

1241332320 is a wasteful number, since it uses less digits than its factorization.

1241332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136148 (or 136140 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1241332320 is about 35232.5463172902. The cubic root of 1241332320 is about 1074.7217076636.

Adding to 1241332320 its reverse (232331421), we get a palindrome (1473663741).

The spelling of 1241332320 in words is "one billion, two hundred forty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 136111 272222 408333 544444 680555 816666 1088888 1361110 1633332 2041665 2177776 2586109 2722220 3266664 4083330 4355552 5172218 5444440 6533328 7758327 8166660 10344436 10888880 12930545 13066656 15516654 16333320 20688872 21777760 25861090 31033308 32666640 38791635 41377744 51722180 62066616 65333280 77583270 82755488 103444360 124133232 155166540 206888720 248266464 310333080 413777440 620666160 1241332320