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1241202320 = 245294711383
BaseRepresentation
bin100100111111011…
…0011111010010000
310012111112121111022
41021332303322100
510020221433240
6323055135012
742521021441
oct11176637220
93174477438
101241202320
11587698746
122a7814468
1316a1bc357
14babb72c8
1573e789b5
hex49fb3e90

1241202320 has 80 divisors (see below), whose sum is σ = 3049090560. Its totient is φ = 469120512.

The previous prime is 1241202301. The next prime is 1241202331. The reversal of 1241202320 is 232021421.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103349 + ... + 114731.

It is an arithmetic number, because the mean of its divisors is an integer number (38113632).

Almost surely, 21241202320 is an apocalyptic number.

1241202320 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 1241202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524545280).

1241202320 is an abundant number, since it is smaller than the sum of its proper divisors (1807888240).

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

1241202320 is a wasteful number, since it uses less digits than its factorization.

1241202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1241202320 is about 35230.7013838782. The cubic root of 1241202320 is about 1074.6841891852.

Adding to 1241202320 its reverse (232021421), we get a palindrome (1473223741).

The spelling of 1241202320 in words is "one billion, two hundred forty-one million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 47 58 80 94 116 145 188 232 235 290 376 464 470 580 752 940 1160 1363 1880 2320 2726 3760 5452 6815 10904 11383 13630 21808 22766 27260 45532 54520 56915 91064 109040 113830 182128 227660 330107 455320 535001 660214 910640 1070002 1320428 1650535 2140004 2640856 2675005 3301070 4280008 5281712 5350010 6602140 8560016 10700020 13204280 15515029 21400040 26408560 31030058 42800080 62060116 77575145 124120232 155150290 248240464 310300580 620601160 1241202320