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1230305024 = 28131919457
BaseRepresentation
bin100100101010100…
…1111011100000000
310011202000222012202
41021111033130000
510004424230044
6322025412332
742326264054
oct11125173400
93152028182
101230305024
11581525413
122a403a0a8
13167b75250
14b957bc64
1573024c4e
hex4954f700

1230305024 has 72 divisors (see below), whose sum is σ = 2784050640. Its totient is φ = 537919488.

The previous prime is 1230305009. The next prime is 1230305033. The reversal of 1230305024 is 4205030321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1230304987 and 1230305005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53504 + ... + 72960.

It is an arithmetic number, because the mean of its divisors is an integer number (38667370).

Almost surely, 21230305024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392025320).

1230305024 is an abundant number, since it is smaller than the sum of its proper divisors (1553745616).

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

1230305024 is a wasteful number, since it uses less digits than its factorization.

1230305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19505 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1230305024 is about 35075.7041839505. The cubic root of 1230305024 is about 1071.5298302030.

Adding to 1230305024 its reverse (4205030321), we get a palindrome (5435335345).

The spelling of 1230305024 in words is "one billion, two hundred thirty million, three hundred five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 608 832 988 1216 1664 1976 2432 3328 3952 4864 7904 15808 19457 31616 38914 63232 77828 155656 252941 311312 369683 505882 622624 739366 1011764 1245248 1478732 2023528 2490496 2957464 4047056 4805879 4980992 5914928 8094112 9611758 11829856 16188224 19223516 23659712 32376448 38447032 47319424 64752896 76894064 94638848 153788128 307576256 615152512 1230305024