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1230040656 = 243213739001
BaseRepresentation
bin100100101010000…
…1110111001010000
310011201112112120100
41021110032321100
510004342300111
6322020012400
742324113235
oct11124167120
93151475510
101230040656
11581364829
122a3b31100
13167ab1b10
14b950d78c
1572ec1756
hex4950ee50

1230040656 has 120 divisors (see below), whose sum is σ = 3758407016. Its totient is φ = 373248000.

The previous prime is 1230040577. The next prime is 1230040657. The reversal of 1230040656 is 6560400321.

1230040656 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 4 + 0 + 656 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3920400 + 1226120256 = 1980^2 + 35016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230040657) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 132156 + ... + 141156.

Almost surely, 21230040656 is an apocalyptic number.

1230040656 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 1230040656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879203508).

1230040656 is an abundant number, since it is smaller than the sum of its proper divisors (2528366360).

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

1230040656 is a wasteful number, since it uses less digits than its factorization.

1230040656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1230040656 is about 35071.9354470209. The cubic root of 1230040656 is about 1071.4530745787.

Adding to 1230040656 its reverse (6560400321), we get a palindrome (7790440977).

The spelling of 1230040656 in words is "one billion, two hundred thirty million, forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 624 657 876 936 949 1168 1314 1752 1872 1898 2628 2847 3504 3796 5256 5694 7592 8541 9001 10512 11388 15184 17082 18002 22776 27003 34164 36004 45552 54006 68328 72008 81009 108012 117013 136656 144016 162018 216024 234026 324036 351039 432048 468052 648072 657073 702078 936104 1053117 1296144 1314146 1404156 1872208 1971219 2106234 2628292 2808312 3942438 4212468 5256584 5616624 5913657 7884876 8424936 8541949 10513168 11827314 15769752 16849872 17083898 23654628 25625847 31539504 34167796 47309256 51251694 68335592 76877541 94618512 102503388 136671184 153755082 205006776 307510164 410013552 615020328 1230040656