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1304420130 = 2325133173517
BaseRepresentation
bin100110110111111…
…1101111100100010
310100220111102000200
41031233331330202
510132412421010
6333234130030
744216250066
oct11557757442
93326442020
101304420130
1160a347172
12304a20916
1317a324b40
14c5351aa6
15797b4cc0
hex4dbfdf22

1304420130 has 96 divisors (see below), whose sum is σ = 3664939824. Its totient is φ = 319984128.

The previous prime is 1304420123. The next prime is 1304420177. The reversal of 1304420130 is 310244031.

It can be written as a sum of positive squares in 8 ways, for example, as 341621289 + 962798841 = 18483^2 + 31029^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369132 + ... + 372648.

Almost surely, 21304420130 is an apocalyptic number.

1304420130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304420130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832469912).

1304420130 is an abundant number, since it is smaller than the sum of its proper divisors (2360519694).

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

1304420130 is a wasteful number, since it uses less digits than its factorization.

1304420130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1304420130 is about 36116.7569142081. The cubic root of 1304420130 is about 1092.6284321012.

Adding to 1304420130 its reverse (310244031), we get a palindrome (1614664161).

The spelling of 1304420130 in words is "one billion, three hundred four million, four hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 317 390 585 634 951 1170 1585 1902 2853 3170 3517 4121 4755 5706 7034 8242 9510 10551 12363 14265 17585 20605 21102 24726 28530 31653 35170 37089 41210 45721 52755 61815 63306 74178 91442 105510 123630 137163 158265 185445 228605 274326 316530 370890 411489 457210 685815 822978 1114889 1371630 2057445 2229778 3344667 4114890 5574445 6689334 10034001 11148890 14493557 16723335 20068002 28987114 33446670 43480671 50170005 72467785 86961342 100340010 130442013 144935570 217403355 260884026 434806710 652210065 1304420130