Search a number
-
+
10148020 = 225507401
BaseRepresentation
bin100110101101…
…100010110100
3201002120110121
4212231202310
510044214040
61001301324
7152154031
oct46554264
921076417
1010148020
1158013a3
123494844
13214405c
1414c2388
15d56c4a
hex9ad8b4

10148020 has 12 divisors (see below), whose sum is σ = 21310884. Its totient is φ = 4059200.

The previous prime is 10148011. The next prime is 10148029. The reversal of 10148020 is 2084101.

It is a happy number.

10148020 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 (10148011) and next prime (10148029).

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 7365796 = 1668^2 + 2714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10147985 and 10148003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10148029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253681 + ... + 253720.

It is an arithmetic number, because the mean of its divisors is an integer number (1775907).

Almost surely, 210148020 is an apocalyptic number.

10148020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10148020 is an abundant number, since it is smaller than the sum of its proper divisors (11162864).

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

10148020 is a wasteful number, since it uses less digits than its factorization.

10148020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507410 (or 507408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10148020 is about 3185.5957056726. The cubic root of 10148020 is about 216.5012649557.

The spelling of 10148020 in words is "ten million, one hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 507401 1014802 2029604 2537005 5074010 10148020