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103790036 = 2272618681
BaseRepresentation
bin1100010111110…
…11010111010100
321020022002011102
412023323113110
5203032240121
614144325232
72400125600
oct613732724
9236262142
10103790036
115364aa99
122a913818
131866c92c
14dada500
1591a290b
hex62fb5d4

103790036 has 36 divisors (see below), whose sum is σ = 214775316. Its totient is φ = 43747200.

The previous prime is 103790023. The next prime is 103790039. The reversal of 103790036 is 630097301.

It can be written as a sum of positive squares in 2 ways, for example, as 38987536 + 64802500 = 6244^2 + 8050^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103789990 and 103790008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103790039) 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, 7616 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (5965981).

Almost surely, 2103790036 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 103790036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107387658).

103790036 is an abundant number, since it is smaller than the sum of its proper divisors (110985280).

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

103790036 is a wasteful number, since it uses less digits than its factorization.

103790036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 103790036 is about 10187.7394941174. The cubic root of 103790036 is about 469.9502527700.

The spelling of 103790036 in words is "one hundred three million, seven hundred ninety thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 5978 8681 11956 17362 34724 60767 121534 243068 425369 529541 850738 1059082 1701476 2118164 3706787 7413574 14827148 25947509 51895018 103790036