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130301808 = 243713231297
BaseRepresentation
bin1111100010000…
…11111101110000
3100002012000110220
413301003331300
5231324124213
620532453040
73141355440
oct761037560
9302160426
10130301808
116760874a
123777a180
1320cc2c80
141343c120
15b68ce23
hex7c43f70

130301808 has 160 divisors (see below), whose sum is σ = 432638976. Its totient is φ = 32845824.

The previous prime is 130301807. The next prime is 130301833. The reversal of 130301808 is 808103031.

It is a super-2 number, since 2×1303018082 = 33957122336137728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130301803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99816 + ... + 101112.

Almost surely, 2130301808 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 130301808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216319488).

130301808 is an abundant number, since it is smaller than the sum of its proper divisors (302337168).

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

130301808 is a wasteful number, since it uses less digits than its factorization.

130301808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 130301808 is about 11414.9817345452. The cubic root of 130301808 is about 506.9714240709.

Adding to 130301808 its reverse (808103031), we get a palindrome (938404839).

The spelling of 130301808 in words is "one hundred thirty million, three hundred one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1092 1104 1196 1288 1297 1456 1794 1932 2093 2184 2392 2576 2594 3588 3864 3891 4186 4368 4784 5188 6279 7176 7728 7782 8372 9079 10376 12558 14352 15564 16744 16861 18158 20752 25116 27237 29831 31128 33488 33722 36316 50232 50583 54474 59662 62256 67444 72632 89493 100464 101166 108948 118027 119324 134888 145264 178986 202332 208817 217896 236054 238648 269776 354081 357972 387803 404664 417634 435792 472108 477296 626451 708162 715944 775606 809328 835268 944216 1163409 1252902 1416324 1431888 1551212 1670536 1888432 2326818 2505804 2714621 2832648 3102424 3341072 4653636 5011608 5429242 5665296 6204848 8143863 9307272 10023216 10858484 16287726 18614544 21716968 32575452 43433936 65150904 130301808