Search a number
-
+
103312260 = 2234563773
BaseRepresentation
bin1100010100001…
…10101110000100
321012101210210000
412022012232010
5202421443020
614130201300
72363065632
oct612065604
9235353700
10103312260
1153354037
122a723230
131853331c
14da14352
15910b090
hex6286b84

103312260 has 60 divisors (see below), whose sum is σ = 324099468. Its totient is φ = 27549504.

The previous prime is 103312241. The next prime is 103312267. The reversal of 103312260 is 62213301.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 85266756 = 4248^2 + 9234^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103312267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30267 + ... + 33506.

Almost surely, 2103312260 is an apocalyptic number.

103312260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312260 is an abundant number, since it is smaller than the sum of its proper divisors (220787208).

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

103312260 is a wasteful number, since it uses less digits than its factorization.

103312260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63794 (or 63783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103312260 is about 10164.2638690660. The cubic root of 103312260 is about 469.2280371260.

Adding to 103312260 its reverse (62213301), we get a palindrome (165525561).

The spelling of 103312260 in words is "one hundred three million, three hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 63773 127546 191319 255092 318865 382638 573957 637730 765276 956595 1147914 1275460 1721871 1913190 2295828 2869785 3443742 3826380 5165613 5739570 6887484 8609355 10331226 11479140 17218710 20662452 25828065 34437420 51656130 103312260