Search a number
-
+
130327488 = 2633199379
BaseRepresentation
bin1111100010010…
…10001111000000
3100002020022201000
413301022033000
5231330434423
620533212000
73141523344
oct761121700
9302208630
10130327488
1167625a75
1237791000
1321001875
1413447624
15b695843
hex7c4a3c0

130327488 has 112 divisors (see below), whose sum is σ = 386080000. Its totient is φ = 43110144.

The previous prime is 130327487. The next prime is 130327489. The reversal of 130327488 is 884723031.

130327488 is a `hidden beast` number, since 1 + 303 + 274 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (130327487) and next prime (130327489).

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 (130327481) 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, 343683 + ... + 344061.

Almost surely, 2130327488 is an apocalyptic number.

130327488 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 130327488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193040000).

130327488 is an abundant number, since it is smaller than the sum of its proper divisors (255752512).

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

130327488 is a wasteful number, since it uses less digits than its factorization.

130327488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 130327488 is about 11416.1065166720. The cubic root of 130327488 is about 507.0047266812.

The spelling of 130327488 in words is "one hundred thirty million, three hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 199 216 288 379 398 432 576 597 758 796 864 1137 1194 1516 1592 1728 1791 2274 2388 3032 3184 3411 3582 4548 4776 5373 6064 6368 6822 7164 9096 9552 10233 10746 12128 12736 13644 14328 18192 19104 20466 21492 24256 27288 28656 36384 38208 40932 42984 54576 57312 72768 75421 81864 85968 109152 114624 150842 163728 171936 218304 226263 301684 327456 343872 452526 603368 654912 678789 905052 1206736 1357578 1810104 2036367 2413472 2715156 3620208 4072734 4826944 5430312 7240416 8145468 10860624 14480832 16290936 21721248 32581872 43442496 65163744 130327488