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130261328 = 24233071153
BaseRepresentation
bin1111100001110…
…10000101010000
3100002002221221122
413300322011100
5231321330303
620531541412
73141126431
oct760720520
9302087848
10130261328
116759029a
123775a868
1320caa712
141342b488
15b680e38
hex7c3a150

130261328 has 40 divisors (see below), whose sum is σ = 264441408. Its totient is φ = 62042112.

The previous prime is 130261309. The next prime is 130261331. The reversal of 130261328 is 823162031.

It is a junction number, because it is equal to n+sod(n) for n = 130261297 and 130261306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112400 + ... + 113552.

Almost surely, 2130261328 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 130261328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132220704).

130261328 is an abundant number, since it is smaller than the sum of its proper divisors (134180080).

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

130261328 is a wasteful number, since it uses less digits than its factorization.

130261328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 130261328 is about 11413.2084884138. The cubic root of 130261328 is about 506.9189194815.

The spelling of 130261328 in words is "one hundred thirty million, two hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 307 368 614 1153 1228 2306 2456 4612 4912 7061 9224 14122 18448 26519 28244 53038 56488 106076 112976 212152 353971 424304 707942 1415884 2831768 5663536 8141333 16282666 32565332 65130664 130261328