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130026496 = 210432953
BaseRepresentation
bin1111100000000…
…00110000000000
3100001200000211011
413300000300000
5231241321441
620522530304
73136130665
oct760006000
9301600734
10130026496
116743a916
1237666994
1320c27872
14133a9a6c
15b636581
hex7c00c00

130026496 has 44 divisors (see below), whose sum is σ = 266060872. Its totient is φ = 63479808.

The previous prime is 130026469. The next prime is 130026503. The reversal of 130026496 is 694620031.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42556 + ... + 45508.

It is an arithmetic number, because the mean of its divisors is an integer number (6046838).

Almost surely, 2130026496 is an apocalyptic number.

130026496 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 130026496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133030436).

130026496 is an abundant number, since it is smaller than the sum of its proper divisors (136034376).

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

130026496 is an equidigital number, since it uses as much as digits as its factorization.

130026496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 130026496 is about 11402.9161182568. The cubic root of 130026496 is about 506.6141158178.

The spelling of 130026496 in words is "one hundred thirty million, twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2752 2953 5504 5906 11008 11812 22016 23624 44032 47248 94496 126979 188992 253958 377984 507916 755968 1015832 1511936 2031664 3023872 4063328 8126656 16253312 32506624 65013248 130026496