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107080528 = 2429892593
BaseRepresentation
bin1100110000111…
…10101101010000
321110111020212111
412120132231100
5204403034103
614343035104
72440112062
oct630365520
9243436774
10107080528
1155498205
122ba3ba94
1319252579
1410315732
15960286d
hex661eb50

107080528 has 40 divisors (see below), whose sum is σ = 217117800. Its totient is φ = 51093504.

The previous prime is 107080487. The next prime is 107080537. The reversal of 107080528 is 825080701.

It can be written as a sum of positive squares in 4 ways, for example, as 8832784 + 98247744 = 2972^2 + 9912^2 .

It is a super-2 number, since 2×1070805282 = 22932478953517568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107080528.

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 7 ways as a sum of consecutive naturals, for example, 40000 + ... + 42592.

It is an arithmetic number, because the mean of its divisors is an integer number (5427945).

Almost surely, 2107080528 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 107080528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108558900).

107080528 is an abundant number, since it is smaller than the sum of its proper divisors (110037272).

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

107080528 is a wasteful number, since it uses less digits than its factorization.

107080528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 107080528 is about 10347.9721684976. The cubic root of 107080528 is about 474.8650076229.

The spelling of 107080528 in words is "one hundred seven million, eighty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 89 116 178 232 356 464 712 1424 2581 2593 5162 5186 10324 10372 20648 20744 41296 41488 75197 150394 230777 300788 461554 601576 923108 1203152 1846216 3692432 6692533 13385066 26770132 53540264 107080528