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1230312096 = 253213347947
BaseRepresentation
bin100100101010101…
…0001001010100000
310011202001022220200
41021111101022200
510004424441341
6322025505200
742326323506
oct11125211240
93152038820
101230312096
1158152a762
122a4042200
13167b78530
14b9580676
1573026db6
hex495512a0

1230312096 has 144 divisors (see below), whose sum is σ = 3782679264. Its totient is φ = 377068032.

The previous prime is 1230312043. The next prime is 1230312157. The reversal of 1230312096 is 6902130321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×12303120964 (a number of 37 digits) contains 4444 as substring.

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, 1298695 + ... + 1299641.

It is an arithmetic number, because the mean of its divisors is an integer number (26268606).

Almost surely, 21230312096 is an apocalyptic number.

1230312096 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 1230312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891339632).

1230312096 is an abundant number, since it is smaller than the sum of its proper divisors (2552367168).

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

1230312096 is a wasteful number, since it uses less digits than its factorization.

1230312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1230312096 is about 35075.8049943262. The cubic root of 1230312096 is about 1071.5318833103.

The spelling of 1230312096 in words is "one billion, two hundred thirty million, three hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 347 416 468 624 694 936 947 1041 1248 1388 1872 1894 2082 2776 2841 3123 3744 3788 4164 4511 5552 5682 6246 7576 8328 8523 9022 11104 11364 12311 12492 13533 15152 16656 17046 18044 22728 24622 24984 27066 30304 33312 34092 36088 36933 40599 45456 49244 49968 54132 68184 72176 73866 81198 90912 98488 99936 108264 110799 136368 144352 147732 162396 196976 216528 221598 272736 295464 324792 328609 393952 433056 443196 590928 649584 657218 886392 985827 1181856 1299168 1314436 1772784 1971654 2628872 2957481 3545568 3943308 4271917 5257744 5914962 7886616 8543834 10515488 11829924 12815751 15773232 17087668 23659848 25631502 31546464 34175336 38447253 47319696 51263004 68350672 76894506 94639392 102526008 136701344 153789012 205052016 307578024 410104032 615156048 1230312096