Base | Representation |
---|---|
bin | 100111110100… |
… | …001100001110 |
3 | 201122021102000 |
4 | 213310030032 |
5 | 10132444030 |
6 | 1011413130 |
7 | 154500465 |
oct | 47641416 |
9 | 21567360 |
10 | 10437390 |
11 | 5989847 |
12 | 35b41a6 |
13 | 2215992 |
14 | 15599dc |
15 | db2860 |
hex | 9f430e |
10437390 has 128 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 2540160.
The previous prime is 10437389. The next prime is 10437391. The reversal of 10437390 is 9373401.
10437390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10437389) and next prime (10437391).
It is a super-2 number, since 2×104373902 = 217878220024200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10437391) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242709 + ... + 242751.
It is an arithmetic number, because the mean of its divisors is an integer number (237600).
Almost surely, 210437390 is an apocalyptic number.
10437390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10437390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).
10437390 is an abundant number, since it is smaller than the sum of its proper divisors (19975410).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10437390 is a wasteful number, since it uses less digits than its factorization.
10437390 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 119 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 27.
The square root of 10437390 is about 3230.6949716741. The cubic root of 10437390 is about 218.5398482412.
The spelling of 10437390 in words is "ten million, four hundred thirty-seven thousand, three hundred ninety".
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