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130027248 = 2433133137
BaseRepresentation
bin1111100000000…
…00111011110000
3100001200001212000
413300000323300
5231241332443
620522534000
73136133121
oct760007360
9301601760
10130027248
116744043a
1237667300
1320c28000
14133aa048
15b6368d3
hex7c00ef0

130027248 has 160 divisors (see below), whose sum is σ = 407265600. Its totient is φ = 39716352.

The previous prime is 130027217. The next prime is 130027259. The reversal of 130027248 is 842720031.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 949036 + ... + 949172.

It is an arithmetic number, because the mean of its divisors is an integer number (2545410).

Almost surely, 2130027248 is an apocalyptic number.

130027248 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 130027248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203632800).

130027248 is an abundant number, since it is smaller than the sum of its proper divisors (277238352).

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

130027248 is a wasteful number, since it uses less digits than its factorization.

130027248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 130027248 is about 11402.9490922305. The cubic root of 130027248 is about 506.6150924728.

Adding to 130027248 its reverse (842720031), we get a palindrome (972747279).

The spelling of 130027248 in words is "one hundred thirty million, twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 137 144 156 169 208 216 234 274 312 338 351 411 432 468 507 548 624 676 702 822 936 1014 1096 1233 1352 1404 1521 1644 1781 1872 2028 2192 2197 2466 2704 2808 3042 3288 3562 3699 4056 4394 4563 4932 5343 5616 6084 6576 6591 7124 7398 8112 8788 9126 9864 10686 12168 13182 14248 14796 16029 17576 18252 19728 19773 21372 23153 24336 26364 28496 29592 32058 35152 36504 39546 42744 46306 48087 52728 59184 59319 64116 69459 73008 79092 85488 92612 96174 105456 118638 128232 138918 158184 185224 192348 208377 237276 256464 277836 300989 316368 370448 384696 416754 474552 555672 601978 625131 769392 833508 902967 949104 1111344 1203956 1250262 1667016 1805934 2407912 2500524 2708901 3334032 3611868 4815824 5001048 5417802 7223736 8126703 10002096 10835604 14447472 16253406 21671208 32506812 43342416 65013624 130027248