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103787868 = 223232912967
BaseRepresentation
bin1100010111110…
…10110101011100
321020021222012010
412023322311130
5203032202433
614144311220
72400116352
oct613726534
9236258163
10103787868
11536493a8
122a912510
131866b952
14dad97d2
1591a1e63
hex62fad5c

103787868 has 48 divisors (see below), whose sum is σ = 261434880. Its totient is φ = 31948224.

The previous prime is 103787863. The next prime is 103787869. The reversal of 103787868 is 868787301.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103787863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521 + ... + 14487.

It is an arithmetic number, because the mean of its divisors is an integer number (5446560).

Almost surely, 2103787868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103787868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130717440).

103787868 is an abundant number, since it is smaller than the sum of its proper divisors (157647012).

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

103787868 is a wasteful number, since it uses less digits than its factorization.

103787868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 103787868 is about 10187.6330911552. The cubic root of 103787868 is about 469.9469805893.

The spelling of 103787868 in words is "one hundred three million, seven hundred eighty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 8004 12967 25934 38901 51868 77802 155604 298241 376043 596482 752086 894723 1128129 1192964 1504172 1789446 2256258 3578892 4512516 8648989 17297978 25946967 34595956 51893934 103787868