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130330032 = 24373371151
BaseRepresentation
bin1111100010010…
…10110110110000
3100002020110012020
413301022312300
5231331030112
620533231440
73141533640
oct761126660
9302213166
10130330032
1167627978
1237792580
1321002a81
1413448520
15b69648c
hex7c4adb0

130330032 has 80 divisors (see below), whose sum is σ = 386260992. Its totient is φ = 37094400.

The previous prime is 130330009. The next prime is 130330037. The reversal of 130330032 is 230033031.

It is a super-2 number, since 2×1303300322 = 33971834482242048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130329993 and 130330020.

It is not an unprimeable number, because it can be changed into a prime (130330037) 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, 112657 + ... + 113807.

Almost surely, 2130330032 is an apocalyptic number.

130330032 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 130330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193130496).

130330032 is an abundant number, since it is smaller than the sum of its proper divisors (255930960).

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

130330032 is a wasteful number, since it uses less digits than its factorization.

130330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 130330032 is about 11416.2179376534. The cubic root of 130330032 is about 507.0080255801.

Adding to 130330032 its reverse (230033031), we get a palindrome (360363063).

The spelling of 130330032 in words is "one hundred thirty million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 337 674 1011 1151 1348 2022 2302 2359 2696 3453 4044 4604 4718 5392 6906 7077 8057 8088 9208 9436 13812 14154 16114 16176 18416 18872 24171 27624 28308 32228 37744 48342 55248 56616 64456 96684 113232 128912 193368 386736 387887 775774 1163661 1551548 2327322 2715209 3103096 4654644 5430418 6206192 8145627 9309288 10860836 16291254 18618576 21721672 32582508 43443344 65165016 130330032