Search a number
-
+
103002144 = 2537153277
BaseRepresentation
bin1100010001110…
…11000000100000
321011211001101020
412020323000200
5202332032034
614115405440
72360334540
oct610730040
9234731336
10103002144
1153162043
122a5b3880
131845511b
14d973320
159099249
hex623b020

103002144 has 48 divisors (see below), whose sum is σ = 309008448. Its totient is φ = 29428992.

The previous prime is 103002121. The next prime is 103002169. The reversal of 103002144 is 441200301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75967 + ... + 77310.

It is an arithmetic number, because the mean of its divisors is an integer number (6437676).

Almost surely, 2103002144 is an apocalyptic number.

103002144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103002144 is an abundant number, since it is smaller than the sum of its proper divisors (206006304).

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

103002144 is a wasteful number, since it uses less digits than its factorization.

103002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153297 (or 153289 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103002144 is about 10148.9971918412. The cubic root of 103002144 is about 468.7580672034.

Adding to 103002144 its reverse (441200301), we get a palindrome (544202445).

The spelling of 103002144 in words is "one hundred three million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 153277 306554 459831 613108 919662 1072939 1226216 1839324 2145878 2452432 3218817 3678648 4291756 4904864 6437634 7357296 8583512 12875268 14714592 17167024 25750536 34334048 51501072 103002144