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103969296 = 24321813989
BaseRepresentation
bin1100011001001…
…11001000010000
321020122012001200
412030213020100
5203104004141
614152231200
72401503324
oct614471020
9236565050
10103969296
1153762742
122a99b500
13187033c2
14db45984
1591daab6
hex6327210

103969296 has 60 divisors (see below), whose sum is σ = 292650540. Its totient is φ = 34456320.

The previous prime is 103969291. The next prime is 103969303. The reversal of 103969296 is 692969301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18147600 + 85821696 = 4260^2 + 9264^2 .

It is a super-2 number, since 2×1039692962 = 21619229021471232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103969291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24070 + ... + 28058.

It is an arithmetic number, because the mean of its divisors is an integer number (4877509).

Almost surely, 2103969296 is an apocalyptic number.

103969296 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 103969296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146325270).

103969296 is an abundant number, since it is smaller than the sum of its proper divisors (188681244).

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

103969296 is a wasteful number, since it uses less digits than its factorization.

103969296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 103969296 is about 10196.5335286067. The cubic root of 103969296 is about 470.2206538992.

The spelling of 103969296 in words is "one hundred three million, nine hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 543 724 1086 1448 1629 2172 2896 3258 3989 4344 6516 7978 8688 11967 13032 15956 23934 26064 31912 35901 47868 63824 71802 95736 143604 191472 287208 574416 722009 1444018 2166027 2888036 4332054 5776072 6498081 8664108 11552144 12996162 17328216 25992324 34656432 51984648 103969296