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1230091616 = 25131928191
BaseRepresentation
bin100100101010001…
…1011010101100000
310011201122010110202
41021110123111200
510004400412431
6322021044332
742324414635
oct11124332540
93151563422
101230091616
1158139a046
122a3b566a8
13167acc080
14b952418c
1572ed18cb
hex4951b560

1230091616 has 72 divisors (see below), whose sum is σ = 2752856064. Its totient is φ = 537788160.

The previous prime is 1230091607. The next prime is 1230091691. The reversal of 1230091616 is 6161900321.

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 11 ways as a sum of consecutive naturals, for example, 146081 + ... + 154271.

It is an arithmetic number, because the mean of its divisors is an integer number (38234112).

Almost surely, 21230091616 is an apocalyptic number.

1230091616 is a gapful number since it is divisible by the number (16) 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 1230091616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376428032).

1230091616 is an abundant number, since it is smaller than the sum of its proper divisors (1522764448).

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

1230091616 is a wasteful number, since it uses less digits than its factorization.

1230091616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 1230091616 is about 35072.6619463080. The cubic root of 1230091616 is about 1071.4678709716.

Adding to 1230091616 its reverse (6161900321), we get a palindrome (7391991937).

The spelling of 1230091616 in words is "one billion, two hundred thirty million, ninety-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 361 416 494 608 722 988 1444 1976 2888 3952 4693 5776 7904 8191 9386 11552 16382 18772 32764 37544 65528 75088 106483 131056 150176 155629 212966 262112 311258 425932 622516 851864 1245032 1703728 2023177 2490064 2956951 3407456 4046354 4980128 5913902 8092708 11827804 16185416 23655608 32370832 38440363 47311216 64741664 76880726 94622432 153761452 307522904 615045808 1230091616