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130722774 = 237131912601
BaseRepresentation
bin1111100101010…
…10101111010110
3100002222101221020
413302222233112
5231431112044
620545502010
73145060650
oct762525726
9302871836
10130722774
1167875a56
1237941906
132110c770
141350b6d0
15b722a19
hex7caabd6

130722774 has 64 divisors (see below), whose sum is σ = 338741760. Its totient is φ = 32659200.

The previous prime is 130722773. The next prime is 130722791. The reversal of 130722774 is 477227031.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130722773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4074 + ... + 16674.

It is an arithmetic number, because the mean of its divisors is an integer number (5292840).

Almost surely, 2130722774 is an apocalyptic number.

130722774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130722774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169370880).

130722774 is an abundant number, since it is smaller than the sum of its proper divisors (208018986).

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

130722774 is a wasteful number, since it uses less digits than its factorization.

130722774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645.

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 130722774 is about 11433.4060541905. The cubic root of 130722774 is about 507.5167946427.

The spelling of 130722774 in words is "one hundred thirty million, seven hundred twenty-two thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 10374 12601 25202 37803 75606 88207 163813 176414 239419 264621 327626 478838 491439 529242 718257 982878 1146691 1436514 1675933 2293382 3112447 3351866 3440073 5027799 6224894 6880146 9337341 10055598 18674682 21787129 43574258 65361387 130722774