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130420032 = 2634315797
BaseRepresentation
bin1111100011000…
…00110101000000
3100002102000122120
413301200311000
5231341420112
620535204240
73142360221
oct761406500
9302360576
10130420032
1167689556
1237816680
1321034a22
141346d248
15b6b2e8c
hex7c60d40

130420032 has 56 divisors (see below), whose sum is σ = 353116896. Its totient is φ = 42459648.

The previous prime is 130420001. The next prime is 130420067. The reversal of 130420032 is 230024031.

It is a junction number, because it is equal to n+sod(n) for n = 130419993 and 130420020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358 + ... + 16154.

Almost surely, 2130420032 is an apocalyptic number.

130420032 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 130420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176558448).

130420032 is an abundant number, since it is smaller than the sum of its proper divisors (222696864).

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

130420032 is a wasteful number, since it uses less digits than its factorization.

130420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15855 (or 15845 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130420032 is about 11420.1590181573. The cubic root of 130420032 is about 507.1247042973.

Adding to 130420032 its reverse (230024031), we get a palindrome (360444063).

The spelling of 130420032 in words is "one hundred thirty million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 15797 31594 47391 63188 94782 126376 189564 252752 379128 505504 679271 758256 1011008 1358542 1516512 2037813 2717084 3033024 4075626 5434168 8151252 10868336 16302504 21736672 32605008 43473344 65210016 130420032