Search a number
-
+
10122040 = 235594289
BaseRepresentation
bin100110100111…
…001100111000
3201001020211101
4212213030320
510042401130
61000541144
7152015215
oct46471470
921036741
1010122040
115793925
1234817b4
132135296
1414b6b0c
15d4e1ca
hex9a7338

10122040 has 32 divisors (see below), whose sum is σ = 23166000. Its totient is φ = 3979264.

The previous prime is 10122011. The next prime is 10122043. The reversal of 10122040 is 4022101.

10122040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216 + ... + 4504.

Almost surely, 210122040 is an apocalyptic number.

10122040 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 10122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11583000).

10122040 is an abundant number, since it is smaller than the sum of its proper divisors (13043960).

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

10122040 is a wasteful number, since it uses less digits than its factorization.

10122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10122040 is about 3181.5153622134. The cubic root of 10122040 is about 216.3163517199.

Adding to 10122040 its reverse (4022101), we get a palindrome (14144141).

The spelling of 10122040 in words is "ten million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 4289 8578 17156 21445 34312 42890 85780 171560 253051 506102 1012204 1265255 2024408 2530510 5061020 10122040