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1232112480 = 253519912899
BaseRepresentation
bin100100101110000…
…1000101101100000
310011212102210120120
41021130020231200
510010410044410
6322132240240
742350532444
oct11134105540
93155383516
101232112480
1158254a385
122a4770080
13168358b51
14b98cc824
1573280570
hex49708b60

1232112480 has 96 divisors (see below), whose sum is σ = 3900960000. Its totient is φ = 326886912.

The previous prime is 1232112449. The next prime is 1232112491. The reversal of 1232112480 is 842112321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1232112480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89071 + ... + 101969.

It is an arithmetic number, because the mean of its divisors is an integer number (40635000).

Almost surely, 21232112480 is an apocalyptic number.

1232112480 is a gapful number since it is divisible by the number (10) 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 1232112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950480000).

1232112480 is an abundant number, since it is smaller than the sum of its proper divisors (2668847520).

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

1232112480 is a wasteful number, since it uses less digits than its factorization.

1232112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13116 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1232112480 is about 35101.4597987035. The cubic root of 1232112480 is about 1072.0543059294.

The spelling of 1232112480 in words is "one billion, two hundred thirty-two million, one hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 6368 7960 9552 11940 12899 15920 19104 23880 25798 31840 38697 47760 51596 64495 77394 95520 103192 128990 154788 193485 206384 257980 309576 386970 412768 515960 619152 773940 1031920 1238304 1547880 2063840 2566901 3095760 5133802 6191520 7700703 10267604 12834505 15401406 20535208 25669010 30802812 38503515 41070416 51338020 61605624 77007030 82140832 102676040 123211248 154014060 205352080 246422496 308028120 410704160 616056240 1232112480