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130435448 = 2311131131009
BaseRepresentation
bin1111100011001…
…00100101111000
3100002102210210112
413301210211320
5231342413243
620535403452
73142453163
oct761444570
9302383715
10130435448
116769a0a0
1237823588
132103ba50
1413474ada
15b6b7818
hex7c64978

130435448 has 64 divisors (see below), whose sum is σ = 290152800. Its totient is φ = 54190080.

The previous prime is 130435447. The next prime is 130435453. The reversal of 130435448 is 844534031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130435447) 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, 128768 + ... + 129776.

Almost surely, 2130435448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130435448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145076400).

130435448 is an abundant number, since it is smaller than the sum of its proper divisors (159717352).

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

130435448 is a wasteful number, since it uses less digits than its factorization.

130435448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 130435448 is about 11420.8339450322. The cubic root of 130435448 is about 507.1446846799.

Adding to 130435448 its reverse (844534031), we get a palindrome (974969479).

The spelling of 130435448 in words is "one hundred thirty million, four hundred thirty-five thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 113 143 226 286 452 572 904 1009 1144 1243 1469 2018 2486 2938 4036 4972 5876 8072 9944 11099 11752 13117 16159 22198 26234 32318 44396 52468 64636 88792 104936 114017 129272 144287 228034 288574 456068 577148 912136 1154296 1254187 1482221 2508374 2964442 5016748 5928884 10033496 11857768 16304431 32608862 65217724 130435448