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130919728 = 24191273391
BaseRepresentation
bin1111100110110…
…10110100110000
3100010100102002211
413303122310300
5232003412403
620554021504
73146541112
oct763326460
9303312084
10130919728
116799aa25
1237a17894
132117b2c4
141355d3b2
15b76106d
hex7cdad30

130919728 has 40 divisors (see below), whose sum is σ = 269189120. Its totient is φ = 61508160.

The previous prime is 130919713. The next prime is 130919729. The reversal of 130919728 is 827919031.

It is not an unprimeable number, because it can be changed into a prime (130919729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36913 + ... + 40303.

It is an arithmetic number, because the mean of its divisors is an integer number (6729728).

Almost surely, 2130919728 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 130919728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134594560).

130919728 is an abundant number, since it is smaller than the sum of its proper divisors (138269392).

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

130919728 is a wasteful number, since it uses less digits than its factorization.

130919728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 130919728 is about 11442.0159062990. The cubic root of 130919728 is about 507.7715508244.

The spelling of 130919728 in words is "one hundred thirty million, nine hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 304 508 1016 2032 2413 3391 4826 6782 9652 13564 19304 27128 38608 54256 64429 128858 257716 430657 515432 861314 1030864 1722628 3445256 6890512 8182483 16364966 32729932 65459864 130919728