Search a number
-
+
103800976 = 2429349641
BaseRepresentation
bin1100010111111…
…10000010010000
321020022122011121
412023332002100
5203033112401
614144452024
72400202516
oct613760220
9236278147
10103800976
1153658234
122a91a014
13186748c6
14db004b6
1591a5ca1
hex62fe090

103800976 has 40 divisors (see below), whose sum is σ = 208971000. Its totient is φ = 49889280.

The previous prime is 103800959. The next prime is 103800979. The reversal of 103800976 is 679008301.

It can be written as a sum of positive squares in 4 ways, for example, as 49336576 + 54464400 = 7024^2 + 7380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103800979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161616 + ... + 162256.

It is an arithmetic number, because the mean of its divisors is an integer number (5224275).

Almost surely, 2103800976 is an apocalyptic number.

103800976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103800976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104485500).

103800976 is an abundant number, since it is smaller than the sum of its proper divisors (105170024).

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

103800976 is a wasteful number, since it uses less digits than its factorization.

103800976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 103800976 is about 10188.2763998627. The cubic root of 103800976 is about 469.9667639090.

It can be divided in two parts, 103 and 800976, that multiplied together give a palindrome (82500528).

The spelling of 103800976 in words is "one hundred three million, eight hundred thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 349 464 641 698 1282 1396 2564 2792 5128 5584 10121 10256 18589 20242 37178 40484 74356 80968 148712 161936 223709 297424 447418 894836 1789672 3579344 6487561 12975122 25950244 51900488 103800976