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1307399112 = 233229718819
BaseRepresentation
bin100110111101101…
…0101001111001000
310101010002202102100
41031323111033020
510134143232422
6333422033400
744253465135
oct11573251710
93333082370
101307399112
11610aa1338
12305a18860
1317ab28a56
14c58c958c
1579ba27ac
hex4ded53c8

1307399112 has 96 divisors (see below), whose sum is σ = 3714984000. Its totient is φ = 414798720.

The previous prime is 1307399057. The next prime is 1307399117. The reversal of 1307399112 is 2119937031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1307399117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143839 + ... + 152657.

It is an arithmetic number, because the mean of its divisors is an integer number (38697750).

Almost surely, 21307399112 is an apocalyptic number.

1307399112 is a gapful number since it is divisible by the number (12) 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 1307399112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492000).

1307399112 is an abundant number, since it is smaller than the sum of its proper divisors (2407584888).

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

1307399112 is a wasteful number, since it uses less digits than its factorization.

1307399112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8924 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1307399112 is about 36157.9743901674. The cubic root of 1307399112 is about 1093.4595666100.

The spelling of 1307399112 in words is "one billion, three hundred seven million, three hundred ninety-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 71 72 87 116 142 174 213 232 261 284 348 426 522 568 639 696 852 1044 1278 1704 2059 2088 2556 4118 5112 6177 8236 8819 12354 16472 17638 18531 24708 26457 35276 37062 49416 52914 70552 74124 79371 105828 148248 158742 211656 255751 317484 511502 626149 634968 767253 1023004 1252298 1534506 1878447 2046008 2301759 2504596 3069012 3756894 4603518 5009192 5635341 6138024 7513788 9207036 11270682 15027576 18158321 18414072 22541364 36316642 45082728 54474963 72633284 108949926 145266568 163424889 217899852 326849778 435799704 653699556 1307399112