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130302032 = 24783107131
BaseRepresentation
bin1111100010001…
…00000001010000
3100002012000210012
413301010001100
5231324131112
620532454052
73141356210
oct761040120
9302160705
10130302032
1167608933
123777a328
1320cc30c3
141343c240
15b68d022
hex7c44050

130302032 has 80 divisors (see below), whose sum is σ = 296980992. Its totient is φ = 54238080.

The previous prime is 130302023. The next prime is 130302077. The reversal of 130302032 is 230203031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 130301998 and 130302016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994607 + ... + 994737.

Almost surely, 2130302032 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 130302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

130302032 is an abundant number, since it is smaller than the sum of its proper divisors (166678960).

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

130302032 is a wasteful number, since it uses less digits than its factorization.

130302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 130302032 is about 11414.9915462080. The cubic root of 130302032 is about 506.9717145799.

Adding to 130302032 its reverse (230203031), we get a palindrome (360505063).

Subtracting 130302032 from its reverse (230203031), we obtain a palindrome (99900999).

The spelling of 130302032 in words is "one hundred thirty million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 107 112 131 166 214 262 332 428 524 581 664 749 856 917 1048 1162 1328 1498 1712 1834 2096 2324 2996 3668 4648 5992 7336 8881 9296 10873 11984 14017 14672 17762 21746 28034 35524 43492 56068 62167 71048 76111 86984 98119 112136 124334 142096 152222 173968 196238 224272 248668 304444 392476 497336 608888 784952 994672 1163411 1217776 1569904 2326822 4653644 8143877 9307288 16287754 18614576 32575508 65151016 130302032