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130216032 = 2533295197
BaseRepresentation
bin1111100001011…
…11000001100000
3100002000122211000
413300233001200
5231313403112
620530552000
73140550402
oct760570140
9302018730
10130216032
116755a261
1237738600
1320c92c0b
1413418b72
15b6727dc
hex7c2f060

130216032 has 96 divisors (see below), whose sum is σ = 392968800. Its totient is φ = 41900544.

The previous prime is 130216019. The next prime is 130216033. The reversal of 130216032 is 230612031.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 130215996 and 130216014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130216033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22458 + ... + 27654.

It is an arithmetic number, because the mean of its divisors is an integer number (4093425).

Almost surely, 2130216032 is an apocalyptic number.

130216032 is a gapful number since it is divisible by the number (12) 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 130216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196484400).

130216032 is an abundant number, since it is smaller than the sum of its proper divisors (262752768).

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

130216032 is a wasteful number, since it uses less digits than its factorization.

130216032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130216032 is about 11411.2239483764. The cubic root of 130216032 is about 506.8601554013.

Adding to 130216032 its reverse (230612031), we get a palindrome (360828063).

The spelling of 130216032 in words is "one hundred thirty million, two hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 5197 6264 8352 10394 12528 15591 20788 25056 31182 41576 46773 62364 83152 93546 124728 140319 150713 166304 187092 249456 280638 301426 374184 452139 498912 561276 602852 748368 904278 1122552 1205704 1356417 1496736 1808556 2245104 2411408 2712834 3617112 4069251 4490208 4822816 5425668 7234224 8138502 10851336 14468448 16277004 21702672 32554008 43405344 65108016 130216032