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130741056 = 2632613
BaseRepresentation
bin1111100101011…
…11001101000000
3100010000100000100
413302233031000
5231432203211
620550122400
73145165155
oct762571500
9303010010
10130741056
1167888766
1237950400
1321117b94
141351422c
15b728156
hex7caf340

130741056 has 84 divisors (see below), whose sum is σ = 380991364. Its totient is φ = 42865920.

The previous prime is 130741021. The next prime is 130741069. The reversal of 130741056 is 650147031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 99201600 = 5616^2 + 9960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2143266 + ... + 2143326.

Almost surely, 2130741056 is an apocalyptic number.

130741056 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 130741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190495682).

130741056 is an abundant number, since it is smaller than the sum of its proper divisors (250250308).

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

130741056 is an frugal number, since it uses more digits than its factorization.

130741056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130741056 is about 11434.2055255273. The cubic root of 130741056 is about 507.5404528247.

Adding to 130741056 its reverse (650147031), we get a palindrome (780888087).

The spelling of 130741056 in words is "one hundred thirty million, seven hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3721 3904 4392 5856 7442 8784 11163 11712 14884 17568 22326 29768 33489 35136 44652 59536 66978 89304 119072 133956 178608 226981 238144 267912 357216 453962 535824 680943 714432 907924 1071648 1361886 1815848 2042829 2143296 2723772 3631696 4085658 5447544 7263392 8171316 10895088 14526784 16342632 21790176 32685264 43580352 65370528 130741056