Base | Representation |
---|---|
bin | 1011111110001… |
… | …01011100010000 |
3 | 20222222001001200 |
4 | 11333011130100 |
5 | 201202022230 |
6 | 13544231200 |
7 | 2326404465 |
oct | 577053420 |
9 | 228861050 |
10 | 100423440 |
11 | 51760687 |
12 | 2976b500 |
13 | 17a61470 |
14 | d4a166c |
15 | 8c3a160 |
hex | 5fc5710 |
100423440 has 120 divisors (see below), whose sum is σ = 363231960. Its totient is φ = 24717312.
The previous prime is 100423423. The next prime is 100423441. The reversal of 100423440 is 44324001.
It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 94012416 = 2532^2 + 9696^2 .
It is a tau number, because it is divible by the number of its divisors (120).
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 (100423441) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3996 + ... + 14724.
It is an arithmetic number, because the mean of its divisors is an integer number (3026933).
Almost surely, 2100423440 is an apocalyptic number.
100423440 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 100423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181615980).
100423440 is an abundant number, since it is smaller than the sum of its proper divisors (262808520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100423440 is a wasteful number, since it uses less digits than its factorization.
100423440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10761 (or 10752 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 100423440 is about 10021.1496346477. The cubic root of 100423440 is about 464.8131056074.
Adding to 100423440 its reverse (44324001), we get a palindrome (144747441).
The spelling of 100423440 in words is "one hundred million, four hundred twenty-three thousand, four hundred forty".
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