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1308115104 = 253109149839
BaseRepresentation
bin100110111111000…
…0100000010100000
310101011110010120120
41031332010002200
510134334140404
6333445240240
744262536442
oct11576040240
93334403516
101308115104
1161144026a
12306103080
1317b01990a
14c5a34492
1579c949d9
hex4df840a0

1308115104 has 96 divisors (see below), whose sum is σ = 3492720000. Its totient is φ = 428626944.

The previous prime is 1308115069. The next prime is 1308115111. The reversal of 1308115104 is 4015118031.

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

It is a super-2 number, since 2×13081151042 = 3422330250625861632, which contains 22 as substring.

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

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, 1558717 + ... + 1559555.

It is an arithmetic number, because the mean of its divisors is an integer number (36382500).

Almost surely, 21308115104 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 1308115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746360000).

1308115104 is an abundant number, since it is smaller than the sum of its proper divisors (2184604896).

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

1308115104 is a wasteful number, since it uses less digits than its factorization.

1308115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1308115104 is about 36167.8739214790. The cubic root of 1308115104 is about 1093.6591397981.

The spelling of 1308115104 in words is "one billion, three hundred eight million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 149 218 298 327 436 447 596 654 839 872 894 1192 1308 1678 1744 1788 2384 2517 2616 3356 3488 3576 4768 5034 5232 6712 7152 10068 10464 13424 14304 16241 20136 26848 32482 40272 48723 64964 80544 91451 97446 125011 129928 182902 194892 250022 259856 274353 365804 375033 389784 500044 519712 548706 731608 750066 779568 1000088 1097412 1463216 1500132 1559136 2000176 2194824 2926432 3000264 4000352 4389648 6000528 8779296 12001056 13626199 27252398 40878597 54504796 81757194 109009592 163514388 218019184 327028776 436038368 654057552 1308115104