Search a number
-
+
103333940 = 22523415479
BaseRepresentation
bin1100010100011…
…00000000110100
321012102220111222
412022030000310
5202423141230
614130445512
72363216063
oct612140064
9235386458
10103333940
1153369356
122a733898
1318540158
14da1c1da
1591126e5
hex628c034

103333940 has 48 divisors (see below), whose sum is σ = 232001280. Its totient is φ = 38565120.

The previous prime is 103333927. The next prime is 103333949. The reversal of 103333940 is 49333301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103333949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16121 + ... + 21599.

It is an arithmetic number, because the mean of its divisors is an integer number (4833360).

Almost surely, 2103333940 is an apocalyptic number.

103333940 is a gapful number since it is divisible by the number (10) 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 103333940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116000640).

103333940 is an abundant number, since it is smaller than the sum of its proper divisors (128667340).

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

103333940 is a wasteful number, since it uses less digits than its factorization.

103333940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 103333940 is about 10165.3302946830. The cubic root of 103333940 is about 469.2608572138.

The spelling of 103333940 in words is "one hundred three million, three hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 5479 9430 10958 18860 21916 27395 54790 109580 126017 224639 252034 449278 504068 630085 898556 1123195 1260170 2246390 2520340 4492780 5166697 10333394 20666788 25833485 51666970 103333940