Search a number
-
+
103950440 = 23511317621
BaseRepresentation
bin1100011001000…
…10100001101000
321020121020012022
412030202201220
5203102403230
614152004012
72401364336
oct614424150
9236536168
10103950440
115374a560
122a990608
13186c7949
14db3cb56
1591d51e5
hex6322868

103950440 has 64 divisors (see below), whose sum is σ = 263416320. Its totient is φ = 36576000.

The previous prime is 103950419. The next prime is 103950449. The reversal of 103950440 is 44059301.

It is not an unprimeable number, because it can be changed into a prime (103950449) 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, 9830 + ... + 17450.

It is an arithmetic number, because the mean of its divisors is an integer number (4115880).

Almost surely, 2103950440 is an apocalyptic number.

103950440 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 103950440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131708160).

103950440 is an abundant number, since it is smaller than the sum of its proper divisors (159465880).

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

103950440 is a wasteful number, since it uses less digits than its factorization.

103950440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 103950440 is about 10195.6088587195. The cubic root of 103950440 is about 470.1922255809.

The spelling of 103950440 in words is "one hundred three million, nine hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 7621 13640 15242 30484 38105 60968 76210 83831 152420 167662 236251 304840 335324 419155 472502 670648 838310 945004 1181255 1676620 1890008 2362510 2598761 3353240 4725020 5197522 9450040 10395044 12993805 20790088 25987610 51975220 103950440