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103115376 = 24337134361
BaseRepresentation
bin1100010010101…
…10101001110000
321012000210201000
412021112221300
5202344143001
614122042000
72361315630
oct611265160
9235023630
10103115376
115322a121
122a649300
1318494820
14d9a26c0
1590bca86
hex6256a70

103115376 has 320 divisors, whose sum is σ = 378864640. Its totient is φ = 26127360.

The previous prime is 103115357. The next prime is 103115377. The reversal of 103115376 is 673511301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103115377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1690386 + ... + 1690446.

It is an arithmetic number, because the mean of its divisors is an integer number (1183952).

Almost surely, 2103115376 is an apocalyptic number.

103115376 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 103115376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189432320).

103115376 is an abundant number, since it is smaller than the sum of its proper divisors (275749264).

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

103115376 is a wasteful number, since it uses less digits than its factorization.

103115376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 103115376 is about 10154.5741417353. The cubic root of 103115376 is about 468.9297755235.

Adding to 103115376 its reverse (673511301), we get a palindrome (776626677).

The spelling of 103115376 in words is "one hundred three million, one hundred fifteen thousand, three hundred seventy-six".