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139058816 = 2713193433
BaseRepresentation
bin10000100100111…
…01111010000000
3100200122220211112
420102131322000
5241044340231
621444302452
73305660201
oct1022357200
9320586745
10139058816
1171549a46
123a6a1a28
1322a6ab30
141467b5a8
15c31c92b
hex849de80

139058816 has 64 divisors (see below), whose sum is σ = 300579720. Its totient is φ = 63700992.

The previous prime is 139058807. The next prime is 139058819. The reversal of 139058816 is 618850931.

It can be written as a sum of positive squares in 4 ways, for example, as 47665216 + 91393600 = 6904^2 + 9560^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (139058819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320936 + ... + 321368.

Almost surely, 2139058816 is an apocalyptic number.

139058816 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 139058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150289860).

139058816 is an abundant number, since it is smaller than the sum of its proper divisors (161520904).

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

139058816 is a wasteful number, since it uses less digits than its factorization.

139058816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 139058816 is about 11792.3202127486. The cubic root of 139058816 is about 518.0831994683.

It can be divided in two parts, 1390 and 58816, that added together give a palindrome (60206).

The spelling of 139058816 in words is "one hundred thirty-nine million, fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 193 208 386 416 433 772 832 866 1544 1664 1732 2509 3088 3464 5018 5629 6176 6928 10036 11258 12352 13856 20072 22516 24704 27712 40144 45032 55424 80288 83569 90064 160576 167138 180128 321152 334276 360256 668552 720512 1086397 1337104 2172794 2674208 4345588 5348416 8691176 10696832 17382352 34764704 69529408 139058816