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103944256 = 2613177349
BaseRepresentation
bin1100011001000…
…01000001000000
321020120220201021
412030201001000
5203102204011
614151515224
72401340323
oct614410100
9236526637
10103944256
1153745949
122a988b14
13186c4ba0
14db3a7ba
1591d3471
hex6321040

103944256 has 56 divisors (see below), whose sum is σ = 235229400. Its totient is φ = 45146112.

The previous prime is 103944241. The next prime is 103944259. The reversal of 103944256 is 652449301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19009600 + 84934656 = 4360^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (103944259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10470 + ... + 17818.

It is an arithmetic number, because the mean of its divisors is an integer number (4200525).

Almost surely, 2103944256 is an apocalyptic number.

103944256 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 103944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117614700).

103944256 is an abundant number, since it is smaller than the sum of its proper divisors (131285144).

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

103944256 is a wasteful number, since it uses less digits than its factorization.

103944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 103944256 is about 10195.3055863961. The cubic root of 103944256 is about 470.1829015017.

The spelling of 103944256 in words is "one hundred three million, nine hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 7349 14144 14698 29396 58792 95537 117584 124933 191074 235168 249866 382148 470336 499732 764296 999464 1528592 1624129 1998928 3057184 3248258 3997856 6114368 6496516 7995712 12993032 25986064 51972128 103944256