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130261644 = 2232191571213
BaseRepresentation
bin1111100001110…
…10001010001100
3100002002222101100
413300322022030
5231321333034
620531543100
73141130362
oct760721214
9302088340
10130261644
1167590557
123775aa90
1320caa8c6
141342b632
15b681099
hex7c3a28c

130261644 has 72 divisors (see below), whose sum is σ = 349097840. Its totient is φ = 40839552.

The previous prime is 130261639. The next prime is 130261697. The reversal of 130261644 is 446162031.

130261644 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 616 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106782 + ... + 107994.

Almost surely, 2130261644 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 130261644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174548920).

130261644 is an abundant number, since it is smaller than the sum of its proper divisors (218836196).

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

130261644 is a wasteful number, since it uses less digits than its factorization.

130261644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1394 counting only the distinct ones).

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

The square root of 130261644 is about 11413.2223320147. Note that the first 3 decimals coincide. The cubic root of 130261644 is about 506.9193293915.

The spelling of 130261644 in words is "one hundred thirty million, two hundred sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 157 171 228 314 342 471 628 684 942 1213 1413 1884 2426 2826 2983 3639 4852 5652 5966 7278 8949 10917 11932 14556 17898 21834 23047 26847 35796 43668 46094 53694 69141 92188 107388 138282 190441 207423 276564 380882 414846 571323 761764 829692 1142646 1713969 2285292 3427938 3618379 6855876 7236758 10855137 14473516 21710274 32565411 43420548 65130822 130261644