Search a number
-
+
10408770 = 2335192029
BaseRepresentation
bin100111101101…
…001101000010
3201120211011000
4213231031002
510131040040
61011032430
7154321161
oct47551502
921524130
1010408770
11596a299
12359b716
132205948
14154d3d8
15da9130
hex9ed342

10408770 has 64 divisors (see below), whose sum is σ = 29232000. Its totient is φ = 2628288.

The previous prime is 10408763. The next prime is 10408771. The reversal of 10408770 is 7780401.

10408770 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10408771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4116 + ... + 6144.

It is an arithmetic number, because the mean of its divisors is an integer number (456750).

Almost surely, 210408770 is an apocalyptic number.

10408770 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 10408770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616000).

10408770 is an abundant number, since it is smaller than the sum of its proper divisors (18823230).

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

10408770 is a wasteful number, since it uses less digits than its factorization.

10408770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10408770 is about 3226.2625435634. The cubic root of 10408770 is about 218.3399152429.

The spelling of 10408770 in words is "ten million, four hundred eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2029 2565 4058 5130 6087 10145 12174 18261 20290 30435 36522 38551 54783 60870 77102 91305 109566 115653 182610 192755 231306 273915 346959 385510 547830 578265 693918 1040877 1156530 1734795 2081754 3469590 5204385 10408770