Search a number
-
+
10408970 = 25111329251
BaseRepresentation
bin100111101101…
…010000001010
3201120211102102
4213231100022
510131041340
61011033402
7154321565
oct47552012
921524372
1010408970
11596a460
12359b862
132205a70
14154d4dc
15da9215
hex9ed40a

10408970 has 64 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 3360000.

The previous prime is 10408969. The next prime is 10409033. The reversal of 10408970 is 7980401.

It is a super-3 number, since 3×104089703 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41345 + ... + 41595.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 210408970 is an apocalyptic number.

10408970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10408970 is an abundant number, since it is smaller than the sum of its proper divisors (12452470).

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

10408970 is a wasteful number, since it uses less digits than its factorization.

10408970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10408970 is about 3226.2935390321. The cubic root of 10408970 is about 218.3413136695.

The spelling of 10408970 in words is "ten million, four hundred eight thousand, nine hundred seventy".

Divisors: 1 2 5 10 11 13 22 26 29 55 58 65 110 130 143 145 251 286 290 319 377 502 638 715 754 1255 1430 1595 1885 2510 2761 3190 3263 3770 4147 5522 6526 7279 8294 13805 14558 16315 20735 27610 32630 35893 36395 41470 71786 72790 80069 94627 160138 179465 189254 358930 400345 473135 800690 946270 1040897 2081794 5204485 10408970