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103044096 = 210333727
BaseRepresentation
bin1100010010001…
…01010000000000
321011220011221000
412021011100000
5202334402341
614120332000
72360601051
oct611052000
9234804830
10103044096
1153190611
122a614000
131846b24c
14d984728
1590a68b6
hex6245400

103044096 has 88 divisors (see below), whose sum is σ = 305248640. Its totient is φ = 34338816.

The previous prime is 103044083. The next prime is 103044101. The reversal of 103044096 is 690440301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 25785 + ... + 29511.

Almost surely, 2103044096 is an apocalyptic number.

103044096 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 103044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152624320).

103044096 is an abundant number, since it is smaller than the sum of its proper divisors (202204544).

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

103044096 is an equidigital number, since it uses as much as digits as its factorization.

103044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103044096 is about 10151.0637866186. The cubic root of 103044096 is about 468.8216991125.

Adding to 103044096 its reverse (690440301), we get a palindrome (793484397).

It can be divided in two parts, 10304 and 4096, that added together give a square (14400 = 1202).

The spelling of 103044096 in words is "one hundred three million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 3727 4608 6912 7454 9216 11181 13824 14908 22362 27648 29816 33543 44724 59632 67086 89448 100629 119264 134172 178896 201258 238528 268344 357792 402516 477056 536688 715584 805032 954112 1073376 1431168 1610064 1908224 2146752 2862336 3220128 3816448 4293504 5724672 6440256 8587008 11449344 12880512 17174016 25761024 34348032 51522048 103044096