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103393696 = 257736323
BaseRepresentation
bin1100010100110…
…10100110100000
321012112221111011
412022122212200
5202432044241
614132030304
72363555230
oct612324640
9235487434
10103393696
11533aa23a
122a762394
1318561403
14da35cc0
159125281
hex629a9a0

103393696 has 48 divisors (see below), whose sum is σ = 235859904. Its totient is φ = 43697664.

The previous prime is 103393691. The next prime is 103393723. The reversal of 103393696 is 696393301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103393691) 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, 13191 + ... + 19513.

It is an arithmetic number, because the mean of its divisors is an integer number (4913748).

Almost surely, 2103393696 is an apocalyptic number.

103393696 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 103393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117929952).

103393696 is an abundant number, since it is smaller than the sum of its proper divisors (132466208).

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

103393696 is an equidigital number, since it uses as much as digits as its factorization.

103393696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 40.

The square root of 103393696 is about 10168.2690759047. The cubic root of 103393696 is about 469.3512945806.

The spelling of 103393696 in words is "one hundred three million, three hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 6323 8176 12646 16352 25292 44261 50584 88522 101168 177044 202336 354088 461579 708176 923158 1416352 1846316 3231053 3692632 6462106 7385264 12924212 14770528 25848424 51696848 103393696