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130218496 = 29419607
BaseRepresentation
bin1111100001011…
…11101000000000
3100002000210012021
413300233220000
5231313442441
620531011224
73140560522
oct760575000
9302023167
10130218496
11675610a1
1237739b14
1320c94085
1413419a12
15b6733d1
hex7c2fa00

130218496 has 40 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 64846848.

The previous prime is 130218493. The next prime is 130218511. The reversal of 130218496 is 694812031.

It is not an unprimeable number, because it can be changed into a prime (130218493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214225 + ... + 214831.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2130218496 is an apocalyptic number.

130218496 is a gapful number since it is divisible by the number (16) 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 130218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

130218496 is an abundant number, since it is smaller than the sum of its proper divisors (131014784).

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

130218496 is an frugal number, since it uses more digits than its factorization.

130218496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 130218496 is about 11411.3319117446. The cubic root of 130218496 is about 506.8633523849.

The spelling of 130218496 in words is "one hundred thirty million, two hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 419 512 607 838 1214 1676 2428 3352 4856 6704 9712 13408 19424 26816 38848 53632 77696 107264 155392 214528 254333 310784 508666 1017332 2034664 4069328 8138656 16277312 32554624 65109248 130218496