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130645368 = 233272191949
BaseRepresentation
bin1111100100101…
…11110101111000
3100002211110202100
413302113311320
5231421122433
620544103400
73144316200
oct762276570
9302743670
10130645368
1167822887
1237904b60
13210b3469
14134cb400
15b709b13
hex7c97d78

130645368 has 144 divisors (see below), whose sum is σ = 433485000. Its totient is φ = 35344512.

The previous prime is 130645363. The next prime is 130645373. The reversal of 130645368 is 863546031.

130645368 is a `hidden beast` number, since 1 + 3 + 0 + 645 + 3 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (130645363) and next prime (130645373).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130645363) 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 35 ways as a sum of consecutive naturals, for example, 66058 + ... + 68006.

Almost surely, 2130645368 is an apocalyptic number.

130645368 is a gapful number since it is divisible by the number (18) 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 130645368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216742500).

130645368 is an abundant number, since it is smaller than the sum of its proper divisors (302839632).

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

130645368 is a wasteful number, since it uses less digits than its factorization.

130645368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 130645368 is about 11430.0204724226. The cubic root of 130645368 is about 507.4166014364.

The spelling of 130645368 in words is "one hundred thirty million, six hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 1949 2394 2793 3192 3528 3724 3898 4788 5586 5847 7448 7796 8379 9576 11172 11694 13643 15592 16758 17541 22344 23388 27286 33516 35082 37031 40929 46776 54572 67032 70164 74062 81858 95501 109144 111093 122787 140328 148124 163716 191002 222186 245574 259217 286503 296248 327432 333279 382004 444372 491148 518434 573006 666558 764008 777651 859509 888744 982296 1036868 1146012 1333116 1555302 1719018 1814519 2073736 2292024 2332953 2666232 3110604 3438036 3629038 4665906 5443557 6221208 6876072 7258076 9331812 10887114 14516152 16330671 18663624 21774228 32661342 43548456 65322684 130645368