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1230606624 = 253132101751
BaseRepresentation
bin100100101011001…
…1001000100100000
310011202121021221010
41021112121010200
510010013402444
6322040100520
742331661262
oct11126310440
93152537833
101230606624
11581710a75
122a4164740
13167c4c600
14b9619b32
15730842b9
hex49599120

1230606624 has 144 divisors (see below), whose sum is σ = 3537281664. Its totient is φ = 374400000.

The previous prime is 1230606617. The next prime is 1230606653. The reversal of 1230606624 is 4266060321.

It is a junction number, because it is equal to n+sod(n) for n = 1230606591 and 1230606600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638249 + ... + 1638999.

It is an arithmetic number, because the mean of its divisors is an integer number (24564456).

Almost surely, 21230606624 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 1230606624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768640832).

1230606624 is an abundant number, since it is smaller than the sum of its proper divisors (2306675040).

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

1230606624 is a wasteful number, since it uses less digits than its factorization.

1230606624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1230606624 is about 35080.0031927022. The cubic root of 1230606624 is about 1071.6173822020.

Adding to 1230606624 its reverse (4266060321), we get a palindrome (5496666945).

The spelling of 1230606624 in words is "one billion, two hundred thirty million, six hundred six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 101 104 156 169 202 208 303 312 338 404 416 507 606 624 676 751 808 1014 1212 1248 1313 1352 1502 1616 2028 2253 2424 2626 2704 3004 3232 3939 4056 4506 4848 5252 5408 6008 7878 8112 9012 9696 9763 10504 12016 15756 16224 17069 18024 19526 21008 24032 29289 31512 34138 36048 39052 42016 51207 58578 63024 68276 72096 75851 78104 102414 117156 126048 126919 136552 151702 156208 204828 227553 234312 253838 273104 303404 312416 380757 409656 455106 468624 507676 546208 606808 761514 819312 910212 937248 986063 1015352 1213616 1523028 1638624 1820424 1972126 2030704 2427232 2958189 3046056 3640848 3944252 4061408 5916378 6092112 7281696 7888504 11832756 12184224 12818819 15777008 23665512 25637638 31554016 38456457 47331024 51275276 76912914 94662048 102550552 153825828 205101104 307651656 410202208 615303312 1230606624