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103716090 = 23257116231
BaseRepresentation
bin1100010111010…
…01010011111010
321020011022201200
412023221103322
5203022403330
614142555030
72366400162
oct613512372
9236138650
10103716090
11535aa485
122a898a76
131864508a
14dabb5a2
15918aa60
hex62e94fa

103716090 has 48 divisors (see below), whose sum is σ = 273476736. Its totient is φ = 27266400.

The previous prime is 103716089. The next prime is 103716091. The reversal of 103716090 is 90617301.

It is an interprime number because it is at equal distance from previous prime (103716089) and next prime (103716091).

It is not an unprimeable number, because it can be changed into a prime (103716091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726 + ... + 14505.

It is an arithmetic number, because the mean of its divisors is an integer number (5697432).

Almost surely, 2103716090 is an apocalyptic number.

103716090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103716090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136738368).

103716090 is an abundant number, since it is smaller than the sum of its proper divisors (169760646).

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

103716090 is a wasteful number, since it uses less digits than its factorization.

103716090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16315 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 103716090 is about 10184.1096812633. The cubic root of 103716090 is about 469.8386197114.

It can be divided in two parts, 10371 and 6090, that added together give a palindrome (16461).

The spelling of 103716090 in words is "one hundred three million, seven hundred sixteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 16231 32462 48693 81155 97386 146079 162310 243465 292158 486930 730395 1152401 1460790 2304802 3457203 5762005 6914406 10371609 11524010 17286015 20743218 34572030 51858045 103716090