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130203648 = 21432883
BaseRepresentation
bin1111100001011…
…00000000000000
3100002000000211100
413300230000000
5231313004043
620530414400
73140466321
oct760540000
9302000740
10130203648
1167550a23
1237731400
1320c8a3a3
1413414448
15b66dcd3
hex7c2c000

130203648 has 90 divisors (see below), whose sum is σ = 376558364. Its totient is φ = 43352064.

The previous prime is 130203643. The next prime is 130203683. The reversal of 130203648 is 846302031.

It is a happy number.

130203648 is a `hidden beast` number, since 13 + 0 + 2 + 0 + 3 + 648 = 666.

It is not an unprimeable number, because it can be changed into a prime (130203643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147015 + ... + 147897.

Almost surely, 2130203648 is an apocalyptic number.

130203648 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 130203648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188279182).

130203648 is an abundant number, since it is smaller than the sum of its proper divisors (246354716).

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

130203648 is an frugal number, since it uses more digits than its factorization.

130203648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130203648 is about 11410.6813118236. The cubic root of 130203648 is about 506.8440868342.

Adding to 130203648 its reverse (846302031), we get a palindrome (976505679).

The spelling of 130203648 in words is "one hundred thirty million, two hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 883 1024 1152 1536 1766 2048 2304 2649 3072 3532 4096 4608 5298 6144 7064 7947 8192 9216 10596 12288 14128 15894 16384 18432 21192 24576 28256 31788 36864 42384 49152 56512 63576 73728 84768 113024 127152 147456 169536 226048 254304 339072 452096 508608 678144 904192 1017216 1356288 1808384 2034432 2712576 3616768 4068864 5425152 7233536 8137728 10850304 14467072 16275456 21700608 32550912 43401216 65101824 130203648