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130316368 = 24713374159
BaseRepresentation
bin1111100010001…
…11100001010000
3100002012202110011
413301013201100
5231330110433
620533044304
73141446050
oct761074120
9302182404
10130316368
1167618686
1237786694
1320cc97a0
1413443560
15b6923cd
hex7c47850

130316368 has 160 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 48107520.

The previous prime is 130316357. The next prime is 130316371. The reversal of 130316368 is 863613031.

It is a super-2 number, since 2×1303163682 = 33964711537422848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2208723 + ... + 2208781.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2130316368 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 130316368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

130316368 is an abundant number, since it is smaller than the sum of its proper divisors (202162352).

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

130316368 is a wasteful number, since it uses less digits than its factorization.

130316368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 130316368 is about 11415.6194750876. The cubic root of 130316368 is about 506.9903064618.

Adding to 130316368 its reverse (863613031), we get a palindrome (993929399).

It can be divided in two parts, 1303 and 16368, that added together give a palindrome (17671).

The spelling of 130316368 in words is "one hundred thirty million, three hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 41 52 56 59 74 82 91 104 112 118 148 164 182 208 236 259 287 296 328 364 413 472 481 518 533 574 592 656 728 767 826 944 962 1036 1066 1148 1456 1517 1534 1652 1924 2072 2132 2183 2296 2419 3034 3068 3304 3367 3731 3848 4144 4264 4366 4592 4838 5369 6068 6136 6608 6734 7462 7696 8528 8732 9676 10619 10738 12136 12272 13468 14924 15281 16933 17464 19352 19721 21238 21476 24272 26936 28379 29848 30562 31447 33866 34928 38704 39442 42476 42952 53872 56758 59696 61124 62894 67732 78884 84952 85904 89503 113516 122248 125788 135464 138047 157768 169904 179006 198653 220129 227032 244496 251576 270928 276094 315536 358012 397306 440258 454064 503152 552188 626521 716024 794612 880516 1104376 1163539 1253042 1432048 1589224 1761032 2208752 2327078 2506084 3178448 3522064 4654156 5012168 8144773 9308312 10024336 16289546 18616624 32579092 65158184 130316368